(a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTH HTT THH THT TTH TTT Event A: The last toss is heads Event B: At...

See pictures for questions a and b.

Write your answers as fractions.

Problem

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.

Extracted text: (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTH HTT THH THT TTH TTT Event A: The last toss is heads Event B: At least one toss is tails Event A and B: The last toss is heads and at least one toss is tails


Extracted text: (b) Suppose at least one toss is tals. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given at least one toss Is tails Probability HHT HTH HTT|THH THT TTH TTT Event A: The last toss is heads