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(5) Knowing that we obtained at least once the outcome heads” in three independent tosses of a fair coin, what is the probab

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(5)

B: Event of the at least once the outcome "heads" in three independent tosses of fair coin

A : Event of obtaining "heads" three times

Knowing that we obtained at least once the outcome "heads in three independent tosses of a fair coin,

Probability that we obtained "heads" three time = P(A|B)

P(AB) = ? P(A and B) P(B)

P(A and B) = P((Heads three times ) and (at least one head) ) = P(Heads three times) = (1/2)x(1/2)x(1/2) =1/8

Event (Heads three times ) and (at least one head) can only happen when event all three heads happen

P(B) = Probability of at least one head = 1 -Probability of obtaining "tails" three times = 1-(1/2x1/2x1/2) =1-1/8=7/8

P(A and B) P(AB) =- | 00 PB)

Knowing that we obtained at least once the outcome "heads in three independent tosses of a fair coin, Probability that we obtained "heads" three time = phpMyWYFs.png

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