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Let A, B be two events such that the probability of A is 310 and conditional probability of A given B is 12. The probability that exactly one of the events A or B happen equals. -

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Question

Let A, B be two events such that the probability of A is `3/10` and conditional probability of A given B is `1/2`. The probability that exactly one of the events A or B happen equals.

Options

  • `1/2`

  • `1/6`

  • `3/10`

  • `7/10`

MCQ

Solution

`bb(1/2)`

Explanation:

Desired probability

= P(A) + P(B) – 2P(A ∩ B)

and `P(A/B) = (P(A ∩ B))/(P(B)) = 1/2`

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