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)Check the outcomes for each of the three events below. Then, enter the probability of each event.

(b)Suppose not all tosses are the same. (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.

(c)Give the following probabilities and select the correct option below.

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