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 =
[tex]P(A)=\dfrac{7}{8}[/tex]
[tex]P(A') = \dfrac{1}{8}[/tex]
The probability that person A will pass Finite Mathematics =
[tex]P(B)=\dfrac{4}{7}[/tex]
The two events are independent.
We have to find the conditional probability that person A will fail given that person B will pass.
[tex]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[/tex]
Thus, 0.1429 is the probability that person A will fail given that person B will pass.
