Question

If A and B are two events such that P(A) = `4/5` and P(B/A) = `7/8` then P(A ∩ B) is equal to ______.

पर्याय

• `7/40`

• `21/40`

• `32/35`

• `7/10`

Answer 1

If A and B are two events such that P(A) = `4/5` and P(B/A) = `7/8` then P(A ∩ B) is equal to `bbunderline(7/10)`.

Explanation:

Given that,

P(A) = `4/5, P(B/A) = 7/8,P(A∩B)` = 

∵ P(A ∩ B) = P(A) . P`(B/A)`

On putting values,

P(A ∩ B) = `4/5×7/8`

= `7/10`

∴ Option `7/10` is correct.