We flip a fair coin two times. Remember that for a fair coin, the probability of landing on heads (H) is 1/2 and the probability of landing on tails (T) is also 1/2. The flips are independent. If the outcomes from both flips are the same (HH or TT) we win, otherwise we lose. Define the following events: A: heads for the first coin flip. • B: heads for the second coin flip. • C: we win. What is the probability that all three events happen, P(AN BnC)?

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We flip a fair coin two times. Remember that for a fair coin, the probability of landing on heads (H) is
1/2 and the probability of landing on tails (T) is also 1/2. The flips are independent. If the outcomes
from both flips are the same (HH or TT) we win, otherwise we lose.
Define the following events:
A: heads for the first coin flip.
• B: heads for the second coin flip.
C: we win.
What is the probability that all three events happen, P(AN Bn C)?
1/2
1/3
1/4
Transcribed Image Text:We flip a fair coin two times. Remember that for a fair coin, the probability of landing on heads (H) is 1/2 and the probability of landing on tails (T) is also 1/2. The flips are independent. If the outcomes from both flips are the same (HH or TT) we win, otherwise we lose. Define the following events: A: heads for the first coin flip. • B: heads for the second coin flip. C: we win. What is the probability that all three events happen, P(AN Bn C)? 1/2 1/3 1/4
Expert Solution
Given Data -

1] The probability of lending on the head is (H)=122] The probability of lending on the tails is (T)=12

 

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