Three coins are tossed simultaneously. Find the probability that all coins shows head given at least one of the coinw shows a head.

Will love to have answer which explain in the context of conditional probability.

Three coins are tossed simultaneously. Find the probability that all coins shows head given at least one of the coinw shows a head.

Will love to have answer which explain in the context of conditional probability.

Assuming that these coins are fair,

**A** be the event of getting atleast 1 heads.

**B** be the event of getting all 3 heads.

We need to find P(B|A).

**P(A)** = 1/2 + 1/4 + 1/8 = 7/8

**P(B)** = 1/8

**P(B|A)** = **P(A⋂B)** / **P(A)**

= **1/8** / **7/8**

= **1/7**

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