Question

The probability that person A will pass is 7/8 and the probability that person B will pass is 4/7 . Assume the events are independent. Find the probability that person A will fail given that person B will pass.

Answer 1

Therefore the probability that person A will fail given that person B will pass
`\frac1{14}`.

Explanation:

Probability:

The ratio of the number of favorable outcomes to the number of all possible outcomes.

Given that,

The probability that A will pass the examination is
`\frac78` and the probability that person B will pass the examination is
`\frac47`.

The probability that A will fall is
`=1-\frac 78`

`=(8-7)/(8)`

`=\frac18`

Therefore the probability that person A will fail given that person B will pass

=P(A will fail)×P(B will pass)

`=\frac18* \frac47`

`=\frac1{14}`