Question

The probability that person A will pass Finite Mathematics 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

Answer:

0.1429 is the required probability.

Step-by-step explanation:

We are given the following in the question:

The probability that person A will pass Finite Mathematics =

$P(A)=\dfrac{7}{8}$

$P(A') = \dfrac{1}{8}$

The probability that person A will pass Finite Mathematics =

$P(B)=\dfrac{4}{7}$

The two events are independent.

We have to find the conditional probability  that person A will fail given that person B will pass.

$P(A'|B)=\dfrac{P(A'\cap B)}{P(B)}\\\\\text{Since A and B are independent events,}\\\\ = \dfrac{P(A')\times P(B)}{P(B)}=\dfrac{1}{7} = 0.1429$

Thus, 0.1429 is the probability that person A will fail given that person B will pass.