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

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.

onsider the following.(a) Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a coin three times. (b) How many sequences contain exactly two heads?(c) Probability extension: Assuming the sequences are all equally likely, what is the probability that you will get exactly two heads when you toss a coin three times? (Round your answer to three decimal places.)

You toss a coin one time  1.  List the sample space __________   2. The number of events in the sample space is _________   3. The probability of getting 1 head is __________

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 fair coin is tossed, and a fair die is thrown. Write down sample spaces for(a) the toss of the coin;(b) the throw of the die;(c) the combination of these experiments.Let A be the event that a head is tossed, and B be the event that an odd number isthrown. Directly from the sample space, calculate P (A ∪ B) and P (A ∩ B)