(b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomen. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event H occurs. Outcomes given at least one toss Is tails Probability HHT HTH HTT|THH THT TTH TTT Event A: The last toss is heads (c) Give the following probabilities and select the correct option below. PA and B) %3D P(B) <, >, = Pi and B) PAIB) pla

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See pictures for questions a, b and c. Write your answers as fractions.

(I sent this before but it was answer wrong)  Thank you for the help.

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.

(b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomen. From the remaining outcomes, check the outcomes for
Event A. Then, enter the probability that Event A occurs given that Event A occurs.
Outcomes given at least one toss is tails
Probability
HHT HTH HTT|THH THT TTH TTT
Event A: The last toss Is heads
(c) Give the following probabilities and select the correct option below.
P(A and B)
P(B)
%3D
Pu and B)
P(B)
P(AIB)
pla
Transcribed Image Text:(b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomen. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event A occurs. Outcomes given at least one toss is tails Probability HHT HTH HTT|THH THT TTH TTT Event A: The last toss Is heads (c) Give the following probabilities and select the correct option below. P(A and B) P(B) %3D Pu and B) P(B) P(AIB) pla
(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 talls
Event A and B: The last toss is heads
and at least one toss is tails
Transcribed Image 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 talls Event A and B: The last toss is heads and at least one toss is tails
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