Sample space calculator coin toss. This value is always between 0 and 1. 4 d. May 31, 2021 · The R function we use in order to simulate a coin toss is. For an unfair coin, which has the same sample space, one of the two outcomes will Oct 3, 2023 · Results of Coin Toss Probability. Explanation: The subject of this question is in the realm of Probability in Mathematics, and specifically, the concept of Sample Space. Go pick up a coin and flip it twice, checking for heads. 50) * (. Mar 11, 2024 · Effortlessly calculate the odds of your next coin toss with our user-friendly tool. Sep 23, 2018 · Definition of sample space from the book: The sample space $\Omega$ is the set of possible outcomes of an experiment. Since a coin is tossed 5 times in a row and all the events are independent. There is no implied relative frequency of occurrence. , in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail. We also multiply: 50% * 50% =. Event: This refers to a particular case in an experiment. (b) Find the probabilities of each element of the sample space. Mar 4, 2018 · Explanation: A coin toss can end with either head or tails, so we can write the sample space as: Ω = {H, T } where H is for head and T for tails. sample space probability. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes. Let A, B, C be the events of getting a sum of 2, a sum of 3 and a sum of 4 respectively. May 23, 2024 · Here are some examples of problems involving coin toss chances. For example, the coin toss is the experiment in our case. When 3 coins are tossed randomly 250 times and it is found that three heads appeared 70 times The sample space and an event may be represented on a Venn diagram. c) Calculate the probability of the following events. A fair coin is tossed, and a fair dice is thrown. (ii) B and C are compound events. The number of events and possible outcomes will increase as you add more coins to the test. We define the probability of an event A as P[A Virtual Coin Tosser. Getting tails is the other outcome. 52. The occurrence of 1 when a dice is rolled. The occurrence of a head when a coin is flipped is only once. Khan Academy offers free, high-quality math lessons for anyone, anywhere. There are 46656 items in the sample space! There is no fast way to make a sample space — you just have to write out all of the possibilities. This will be the beginnings of two different paths. The sample space Ω is a nonempty finite set and the probability measure P is a function which assigns to each element ω in Ω a number in [0,1] so that X ω∈Ω P[ω] = 1. An event is a subset of Ω. Jan 30, 2021 · However, if we omit byrow=T in making the matrix, R will use its default, which is to fill the matrix by columns, and we will get a different summary (except, of course, for the mean of means). If the tail occurs on the first toss, then the die is tossed once. [4] A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, [5 The sample space for choosing a single card at random from a deck of 52 playing cards is shown below. Think of flipping two coins. So, the following Venn diagram represents the experiment's sample space. Jan 16, 2022 · Solution: To calculate the probability of event, by flipping of two coins, Then the sample space will be {HH, HT, TH, TT} Total number of outcome = 4. 8 tree A sample space is all the possible outcomes of a test. 6. With this online coin tossing tool, you can toss between 1 and 10 coins, up to a million times. Since an event and its complement make up the entire sample space, their probabilities sum to one. We can obtain either Heads ( H) or Tails ( T) when we flip a coin. Question: 2. For example, if our sample space was the outcomes of a die roll, the sample space could be a) Write the sample space. 3. You can also set the probability of getting tails (aka use a weighted coin), allowing you to run various types of simulations to find probabilities of events. Solution: We can use a tree diagram to help list all the possible outcomes. Total number of outcomes = 4. The more variables in an experiment, the more possible outcomes. H1 and T1 can be represented as heads and tails of the we toss an unbiased coin four times and calculate the following difference. See explanation. As a result, the sample space is S = { H, T }. (a) Select a sample space. So, the sample space when we toss 2 coins is { TT, TH, HT, HH }. Sample Space: Sample space is the set of all possible outcomes. 5. Jul 28, 2023 · A student may incorrectly reason that if two coins are tossed there are three possibilities, one head, two heads, or no heads. So our sample space is $\Omega = \{H, T\}$ Also since sample space is a set it can not contain duplicate values. Directly from the sample space, calculate P(A ∩ B) and P(A ∪ B). a model used to predict the probability of a variety of outcomes when the potential for random variables is present. Example 5: Find the probability of getting at least two heads when 3 coins are tossed at the same time. Rolling a die has 6. Therefore, the sample space when a coin is tossed three times is: \color{#c34632}{\text{the sample space when a coin is tossed three times is:}} the sample space when a coin is tossed three times is: The sample space for tossing a coin three times is: S = {HHH, HHT, HTH, THH, TTT, TTH, THT, HTT} Note #1: In your answer that is to be entered in the box below, please do not omit the () that comes before the decimal point; that is, enter decimal values as 0. ⇒ 2 5 = 2 × 2 Number of ways it can happen: 1 (there is only 1 face with a "4" on it) Total number of outcomes: 6 (there are 6 faces altogether) So the probability = 1 6. how many elements does the sample space of this experiment There are 3 steps to solve this one. Jun 15, 2022 · A fair coin is tossed, and a fair die is thrown. Directly from the sample space, calculate P(An B) and P(AUB). 9 b. e head or tail. It is usually denoted by the letter S. 25%. Follow the simple instructions below to harness the full potential of the Coin Flip Probability Calculator. probability. The possibilities are {HHHH, HTTT, HHTT, HHHT, HTHT, TTTT, THHH, TTHH, TTTH, TTHT, HHTH, HTHH, THTT, TTHT, HTHT, THTH} Probability formula= no of favorable outcomes/ total number of possible outcomes. Directly from the sample space, calculate (A n B 5 days ago · Sample Space- Examples. Users may refer the below solved example work with steps to learn how to find what is the probability of getting at-least 2 heads, if a coin is tossed three times or 3 coins tossed together. A die is called “balanced” or “fair” if each side is equally likely to land on top. Hence, there is 1/2 change of getting a head. Example: On throwing a coin we have 2 outcomes: heads and tails. 5 for any given flip. The chance of an empty set (neither Heads nor Tails) is always 0, but the probability of the entire sample space (either Heads or Tails) is The occurrence of a head when a coin is flipped. Select the number of coin flips. Suppose a coin tossed then we get two possible outcomes either a ‘head’ ( H ) or a ‘tail’ ( T ), and it is impossible to predict whether the result of a toss will be a Tossing three coins once. One Tail. Directly from the sample space, calculate (A∩B) and P(A∪B). Find the probability of: a) getting a head and an even number. When a coin is tossed, there are two possible outcomes: heads or tails. 50%. A is a subset of B if all elements of the set A are elements Mar 26, 2023 · Construct a sample space for the situation that the coins are distinguishable, such as one a penny and the other a nickel. So Put H and T in sample space 'S' S = {H , T} To find the sample space for tossing of two coins A = { Head } Number of favorable outcome = 1. Only focus on HT H T and TH. Tossing two coins together: When we flip two coins together, we have a total of 4 outcomes. The Counting Principle Dec 19, 2019 · Examples of Events. For a coin, this is easy because there are only two outcomes. 25 =. A vector is a one-dimensional array used to store items of the same type together. The sample space is the set of possible outcomes. What values does the probability function P assign to each of the possible outcomes? (b) Suppose you record the number of heads from the four tosses. For example Worked-out problems involving probability for rolling two dice: 1. When you toss 4 coins, each coin has 2 Jul 7, 2019 · We use the multiplication rule to perform this calculation. Here is how to do it for the "Sam, Yes" branch: (When we take the 0. This means that the probability of tossing two heads is 25%. 2 Coin Toss Probability Jun 21, 2020 · So, usually for unbiased coins, the probability of getting 2 heads out of 3 flips is - 3C2 * 1/2 * 1/2 * 1/2 = 3/8, since we know, the formula for probability is likely events divided by all possible events; we can say that there are 8 possible events here. This is done by multiplying each probability along the "branches" of the tree. When a coin is tossed, there lie two possible outcomes i. Oct 19, 2015 · 0. You can modify it as you like to simulate any number of flips. It happens quite a bit. Write down E explicitly. Worked-out problems on probability involving tossing or throwing or flipping three coins: 1. The above explanation will help us to solve the problems on Apr 2, 2021 · The sample function in R is versatile, yet simple. Now, from each outcome (H or T), roll one die. Possible outcomes are head or tail. sample space. Suppose an experiment consists of tossing a fair coin until two heads show up. 1st Qu. Mar 4, 2023 · The formula for coin toss probability is the number of desired outcomes divided by the total number of possible outcomes. Answer link. If all elements of our sample space have equal probabilities, we call this the uniform probability distribution on our sample space. subset. Answer: The sample space for tossing 2 coins is { TT, TH, HT, HH } and p (exactly 1 head) is 1/2. By inputting the number of coin flips you wish to analyze, you'll be able to calculate the expected number of heads and tails. , either head or tail. When tossing a coin, the probability of getting a tail is: P(Tail) = P(T) = 1/2. If you choose a card from a deck, there is a "sample space" of 52 outcomes. 4. If there were 3 coins, and order were being considered, there would be 8 events in the ordered sample space: {HHH, HHT, HTH, HTT, TTT, TTH Nov 23, 2023 · 2. Apr 30, 2024 · As per the Coin Toss Probability Formula, P (E) = (Number of Favorable Outcomes)/ (Total Number of Possible Outcomes) P (E) = 1/8 = 0. How do you find the sample space for a compound event, such as tossing a coin and rolling a die? Watch this video to learn how to use tree diagrams, tables, and lists to represent all the possible outcomes of a compound event. Jul 26, 2023 · On tossing a coin, the probability of getting a tail is \(P(Tail) = P(T) = \frac{1}{2}\). From the diagram, n (S) = 12. Consequently, using the coin toss probability formula: When tossing a coin, the probability of getting a head is: P(Head) = P(H) = 1/2. The probability of each outcome of this experiment is: P (card) =. What is E(X) ? (Hint: Construct sample space, think of the possible values for X, calculate P(x) for each x, calculate E(x)) Apr 28, 2022 · For example Throwing dies we get the sample space of {1,2,3,4,5,6} Tossing a coin we get the sample space, S={H,T}, here H-head and T-tail. Probability measures the chances of an event to occur. Then, show that. This paper examines coin-toss comparison questions from two recent studies involving undergraduate students and high school teachers and connects to findings from two prior studies in the literature. It's a quick and interactive way to explore how probability theory works in the realm of coin tosses. In probability theory, the sample space (also called sample description space, [1] possibility space, [2] or outcome space [3]) of an experiment or random trial is the set of all possible outcomes or results of that experiment. Sep 26, 2020 · A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space. Let A A be the subset of Ω Ω defined as: Let B B be the subset of Ω Ω defined as: Then: B B is the event that there are two heads. If two coins are flipped, it can be two heads, two tails, or a head and a tail. A sample point for this experiment must indicate the result of each toss. For now, disregard the rolling the die part. 125. 2 Coin Toss Probability Formula. How do you calculate the Size of a Sample Space? The size of a sample space is determined by counting the number of distinct and equally likely outcomes in a given experiment. To find the sample space for tossing of one coin we know that there are two outcomes in tossing of coin . (a) The sample space of this experiment is infinite. 561, not . A finite probability space is used to model a situation in which a random experiment with finitely many possible outcomes is condllcted. Coin Toss Probability. e. b) getting a head or tail and an odd number. BMI Calculator. The script calculates the experimental Sample Space. Abstract. Question 1197753: A fair coin is tossed, and a fair die is thrown. b) Define two mutually exclusive events from the sample space. Example: Find the probability of, At least two Heads. In a coin toss, there are only two possible outcomes. What is the size of the sample space of this A fair coin is tossed four times, and a person wins Re 1 for each head and loses Rs. (i) A is a simple event. So, the sample space will be, S = {H, T} where H is the head and T is the tail. (a) List the sample space for this experiment. Rolling a six-sided die has a sample space Example. Example 5. Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. Event, E= {Occurrence of head} Sample space, S = {occurrence of head, occurrence of tail} Hence, the case of coin-flipping can be represented as E ⊂ ⊂ S. As you might expect, a sample space for a very complicated experiment can be almost endless. 1. But of course, this is wrong. the set of all possible outcomes or results of that experiment. 8 c. Atmost one Heads and on tail. Question: 1. Jan 21, 2022 · With the outcomes labeled h for heads and t for tails, the sample space is the set. The first argument can take either an integer or a vector. 5 chance that Sam will let you be Goalkeeper we end up with an 0. S = { (H, H), (H, T), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)} n(S) = 8. That is, P(A) + P(A c) = 1. When Order Matters Sep 16, 2018 · Improve this question. Getting heads is one outcome. (d) Let A be the event that a head is tossed, and B be the event that an odd number is thrown. By your logic, if HT H T and TH T H are the same thing then the probability of rolling HH H H is 1 3, 1 3, HT/TH H T / T H is 1 3, 1 3, and TT T T is 1 3. If a coin is tossed twice, the sample space is {HH, HT, TH, TT}, where TH, for example, means getting tails on the first toss and heads on the second toss. For example, HHT could indicate that two heads and then a tail were observed. Here is what I understood: If our experiment is a coin toss, then the outcome of the experiment is either head or tail. Mar 21, 2023 · 1. The number of possible outcomes gets greater with the increased number of coins. 2. If tails occurs, then a card is selected at random from the hearts and diamonds suits. P = (number of desired outcomes) / (number of possible outcomes) P = 1/2 for either heads or tails. The sample space for this experiment has eight points, namely, {HHH,HHT,HTH,THH,TTH,THT,HTT,TTT} Let Hi,i=1,2,3, denote the event that the Dec 24, 2021 · This is called Random experiment. Browse Other Glossary Entries. 6 chance of Sam being coach and include the 0. If A is the event 'a head falls', then we can use the following Venn diagram to represent it. a) Let A denote the event of a head and an even number. . That would be very feasible example of experimental probability matching theoretical probability. Can a Sample Space have Infinite Elements? • A finite probability space consists of a sample space Ω and a probability measure P. The sample space is. Rather than writing out the entire sample space, you can use the Counting Principle. The probability of tossing H (or T) is 1/2. Sample space can be written using the set notation, { }. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts. For instance, to generate a random number, you can use the following: sample (1) Calling this function will result in the number one each time it is run. T H. ' Assuming the coin is equal, then the coin probability is 50% or 1/2 Jan 21, 2020 · The population is not the same as the sample space. If a coin is flipped, there are two potential outcomes: a ‘head' (H) or a ‘tail' (T), and it is difficult to determine whether the toss will end in a ‘head' or a ‘tail. The tree diagram is complete, now let's calculate the overall probabilities. $\endgroup$ – Free Coin Toss Probability Calculator - This calculator determines the following coin toss probability scenarios * Coin Toss Sequence such as HTHHT * Probability of x heads and y tails * Probability of at least x heads in y coin tosses * Probability of at least x tails in y coin tosses * Probability of no more than x heads in y coin tosses e. ) Oct 20, 2023 · The sample space when 4 coins are tossed simultaneously is 16, as each coin toss is an independent event and each coin toss has 2 possible outcomes - heads or tails. Now flip an unbiased coin with the probability of getting heads 80% of the time, so the Jan 11, 2024 · There are a total of 2×2=4 possible outcomes in the sample space. (iii) A and B are mutually exclusive. How can you count the possible outcomes of a compound event, such as tossing a coin and rolling a die? Watch this video to learn how to use a tree diagram to organize and visualize the different combinations. Ovulation Graphical. Solution After the coins are tossed one sees either two heads, which could be labeled \(2h\), two tails, which could be labeled \(2t\), or coins that differ, which could be labeled \(d\) Thus a sample space is \(S=\{2h, 2t Answer: The total number of possible outcomes when a coin tosses 4 times is 2 4 =16. The sample space (S) for rolling three coins can be represented using combinations of the possible outcomes for each coin. Consider the experiment of tossing a coin three times. 3 chance. The $4$-element sample space consisting of ordered pairs is undoubtedly the most convenient one for computation of probabilities, but it i not the only possible sample space. x will be a vector of the elements that are chosen from. For a coin toss, the sample space is {Heads,Tails}. (b) Calculate P(E). Experiment 1: Tossing a coin. Considering possible sample spaces employed by participants, this is a reflection on whether one sequence could be more likely depending Question: We toss an unbiased coin four times and calculate the following difference: the number of heads minus the number of tails. Below is some sample code in R to simulate a fair coin toss in R using the sample function. 📌 Ex12. And outcomes are observations of the experiment, and they are sometimes referred to as sample points. Explanation: If a coin is tossed once, then the number of possible outcomes will be 2 (either a head or a tail). Two dice are rolled. When two coins are tossed, the sample space of the event comprises of, \(S = \left\{(H, H), (H, T), (T, H), (T, T)\right\}\) The event of obtaining precisely one head can be denoted as {(H, T), (T, H)} within the given The sample space, S, can be represented as S = {H, T}, where H represents the event of getting heads and T represents the event of getting tails. The above explanation will help us to solve the problems on finding the probability of tossing three coins. Find the following probabilities: (i) P (four heads) (ii) P Example: A coin and a dice are thrown at random. The sample space could be S = {a, b, c}, and the probabilities could be p(a) = 1/2, p(b) = 1/3, p(c) = 1/6. For a fair coin, both outcomes have equal probability. But if you flip a coin, the sample space is only 2 possible outcomes. 1 3. Suppose E is the event: the number of tails before the second head showing up is between 1 and 3 (inclusive). Write down sample spaces for (a) the toss of the coin; (b) the throw of the die; (c) the combination of these experiments. Question: < 1. e {HHHH} is 1/16. Here there are 2 possible outcomes. For example, the total possible outcomes in a coin toss experiment is 2, either heads or tails. S = {h, t} Since the outcomes have the same probabilities, which must add up to 1, each outcome is assigned probability 1 / 2. the number of heads minus the number of tails. Khan Academy is a free online platform that offers math, science, and more for learners of all levels. Let's observe the experiment of tossing 2 coins. Therefore, total numbers of outcome are 2 2 = 4. Let A be the event that a head is tossed, and B be the event that an odd number is thrown. For example, when you toss 2 coins, the sample space jumps from 2 possible outcomes to 4. The Coin Flip Calculator offers a simple yet educational experience in understanding the outcomes of coin flips. Sample space, S = {head, tail} Experiment 2: Tossing a die. Coin Toss Probability Calculator . The answer is wrong because if we toss two coins there are four possibilities and not three. If heads occurs, then a card is selected at random from the clubs and spades suits. A coin toss is an example of a simple experiment. When we flip a coin there is always a probability to get a head or a tail is 50 percent. (d) If B is the event that all heads or all tails appear, find P(B An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. The probability of getting a tail when a coin is tossed is 1/2 or 50%. Therefore, total numbers of outcome are 2 3 = 8. For example, there are only two outcomes for tossing a coin, and the sample space is S =fheads, tailsg; or; S =fH, Tg: If we toss a coin three times, then the sample space is S=fHHH, HHT, HTH, THH, HTT, TTH, THT, TTTg: EXAMPLE where the first, the second, and the third coordinate represents, in a row, the result of the first, the second, and the third toss. The sample space for the experiment of tossing a coin is {heads, tails}, or {H, T}. monte carlo simulation. Therefore the size of the sample space is 2 5 , where 2 is the number of possible outcomes when tossed once and 5 is the number of trials. It is also called an element or a member of the sample space. 561 Note #2: Enter your answer without rounding it. The possibility of getting all heads i. What is the probability that exactly K tosses are required? A sample space is the set of all possible outcomes in the experiment. Click 'Calculate' to see the probability. Your theoretical probability statement would be Pr[H] = . For clarity, assume that one coin is a penny and the other a nickel. Sample space of Tossing Three Coins is as follows: Nov 18, 2020 · The experiment is of tossing a coin and tossing it for the second time if the head occurs. Every subset of a sample space refers to it as an event. P (A) = Favorable outcomes / Total number of outcomes. Tossing a coin: When we toss a coin, there can be only two outcomes i. for probability simulations. Find the sample space for tossing a coin and spinning the spinner at the right. Suppose you toss a fair coin four times and observe the sequence of heads and tails. In the context of the binomial model of the previous chapter, we tossed a coin a finite nllmber of times. Apr 11, 2015 · $\begingroup$ Exercises of this kind ("what is the sample space") are unfortunately quite popular in beginning probability books. Mar 1, 2023 · Coin flip probability formula. The sum of the probabilities of the distinct outcomes within this sample space is: 52. Sample Space: This is the total number of possible outcomes in an experiment. head or tail. This observation is useful when it is not practical to write out all the elements in a sample space. Describe the sample space S. We toss an unbiased coin four times and calculate the following difference: the number of heads minus the number of tails. See More Well-being Calculators How various elements are by the sample space for tilting a coin 8 times? A. So given the probability of the complement of an event, we can calculate the probability of an event using P(A) = 1 - P(A c). More than likely, you're going to get 1 out of 2 to be heads. Suppose a person wins $1 for every heads and loses $1 for every tails obtained on a coin toss. Let X =amount won (losses are negative numbers). Sample Space of Tossing Three Coins. (H = heads, T = tails) (compound event) Start by tossing the penny. A = First toss lands Heads B = Exactly two Heads lands out of three C = Second and third tosses lands Heads d) Which of the events defined in part c) are independent of each other (A-B, A-C, B-C)? coin toss probability. Choose the result you are calculating for (heads or tails). 1. There are two outcomes for each coin, and there are three coins,. We could then use the diagram to answer any question about probabilities involving two coins. How many elements does the sample space of this experiment have? a. 5% chance of getting all 3 heads when 3 coins are tossed. A coin is tossed 3 times. 1/2 x 100. Using the probability formula; Probability = 1 / 2. For example: By tossing a coin, either heads or tails are obtained but one is not sure that only the head will occur or the tail will occur. What is Sample Space for a Coin Toss? For a fair coin toss, the sample space consists of two outcomes: heads and tails. 50) =. Now, in the case of coins, As only two outcomes in a fair coin toss exist, both “heads” and “tails” have equal May 20, 2021 · 1. (c) Suppose we were to toss a coin with P(H)=0. 9, now The ratio of successful events A = 4 to the total number of possible combinations of a sample space S = 8 is the probability of 2 heads in 3 coin tosses. 50 for each tail that turns up. Show the sample space for tossing one penny and rolling one die. When tossing a coin, the sample space is heads or tails. seed (1234) x = rnorm (1000, 50, 7) MAT = matrix (x, nrow=100) a = rowMeans (MAT) summary (a) Min. A coin toss can end with either head or tails, so we can write the sample space as: Omega = {H,T } where H is for head and T for tails. 4 elements BARN. To calculate the probability on percentage, multiply the number by 100. From Tossing 2 2 Coins, the sample space of E E is: where H H denotes heads and T T denotes tails . P (Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes. For example, flipping a coin has 2 items in its sample space. H, for example, we toss the co in three times, the set of a11 possible out comes is Problems on coin toss probability are explained here with different examples. There are 52 possible outcomes in this sample space. sample (x , size= , replace= , prob= ) This function takes four arguments, as you can see from above. Three coins are tossed and the number of heads is observed. Example: there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability of obtaining a tail when we flip a coin? The possible outcomes when a coin is flipped are 2, i. When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i. When passing an integer, the function will convert it into a sequence. Each outcome in a sample space is called a sample point. So, there is a 12. Since the outcome of flipping a coin is independent for each flip, the probability of a head or tail is always 0. QUESTION: A fair coin is tossed, and a fair die is thrown. (. Explanation: Head (H), Tail (T) are two possible outcomes when we toss a coin. Write down sample spaces for (a) the toss of the coin: (b) the throw of the die; (c) the combination of these experiments. However, there is a way you can figure out probabilities of choosing an item from a sample space. A coin is tossed. There will be two outcomes: heads, H, or tails T. For the experiment of tossing a fair coin, the possible outcomes are head and tail. To put this into perspective, imagine The rectangle represents the sample space. Let E E be the experiment consisting of tossing 2 2 coins . Weight Expense Calculator. Conception Calculator. Question: Suppose we toss a fair coin until we get exactly two heads. Hence, there is 50% chance of getting head after tossing of unbiased coin. set. the likelihood of an event happening. An event is a subset of a sample space as discussed by Shafer and Zhang. See Answer. Out of two outcome one is H and second is T. It can either show heads or tails. A fair coin is tossed, and a fair die is thrown. Sample Space: The set of all possible outcomes of a particular experiment is called the sample space for the experiment. Along the top path, we encounter heads and then heads again, or HH. (c) If A is the event that at least one head appears, find P(A). Sample space is commonly written as S S S. Therefore, the probability of two heads is one out of three. Most coins have probabilities that are nearly equal to 1/2. mt hj oc xn ic ss db tk by uj