A coin is flipped three times a) what is the probability of getting three heads?

ID: 2903525 • Letter: A

Question

A coin is flipped three times

a) what is the probability of getting three heads?

b) what is the probability of getting three heads given that the first flip came up heads?

c) what is the probability of getting three heads given that the first two flips resulted in two heads?

d) what is the probability of getting three heads given that the first three flips resulted in all heads?

e) what is the probability of getting three heads given that at least one of the first two flips resulted in heads?

f) what is the probability of getting three heads given that at most one of the first two flips resulted in heads?

a- 1/2 x1/2 x1/2 = 1/8

b- 1 x 1/2 x 1/2 = 1/4

c- 1 x 1 x 1/2 = 1/2

d 1 x1 x1 = 1

e- (1 x 1/2 x 1/2) + (1 x1 x1/2) = 3/4

f- (1 x 1/2 x 1/2) + (1/2 x 1/2 x1/2) = 3/8

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