A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Outcomes ProbabilityHHT HTH HTT HHH THH TTH THT TTTEvent A: Alternating head and tail (with either coming first) Event B: More heads than tails Event C: A tail on the second toss

A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails).The 8 outcomes are listed below. Assume that each outcome has the same probability.Complete the following. Write your answers as fractions.

A coin is tossed three times and the results are recorded. What is the probability of getting:(a) Three heads.(b) At least two heads.(c) At most one tail

A fair coin is flipped three times.a) State the sample space. List outcomes separated by commas.    Use notation like HTT to mean the first toss was heads, the second toss was tails and the third toss was tails.   { }b) Find the probability of getting all heads.    Leave your answer as a fraction.    c) Find the probability of getting at least 2 tails.    Leave your answer as a fraction.   d) Find the probability of getting an even number of tails.    Leave your answer as a fraction.    e) Find the probability of getting all heads or all tails.    Leave your answer as a fraction.   f) Find the probability of getting exactly two heads or exactly two tails.    Leave your answer as a fraction.   g) Find the probability of not getting at least 2 tails.    Leave your answer as a fraction.    Submit QuestionQuestion 8

Make an organized list to show all possible outcomes when four fair coins are flipped. Each coin lands facing either heads up (H) or tails up (T). What is the probability that at least three coins land facing tails up?

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc.For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is hhh, then =Nhhh0. Suppose that the random variable X is defined in terms of N as follows: =X−N−N22. The values of X are given in the table below.Outcome thh ttt hht tht hhh htt tth hthValue of X −2 −8 −2 −4 −2 −4 −4 −2Calculate the probabilities P=Xx of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.Value x of X P=Xx