SOLUTION: Hello! A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are bot

Question 763117: Hello! A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are both tails.What is the probability that the outcomes of the second and third flips are both tails, given that the first one is a heads? Are A and B independent? Why or why not? Please!
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are both tails.
What is the probability that the outcomes of the second and third flips are both tails, given that the first one is a heads?
P(B|A) = P(A ∩ B)/P(A)
=
=
Are A and B independent? Why or why not?
A and B are independent because P(B|A) = P(B).
P(B|A) = 0.25 and P(B) = 0.25.
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