Answer:
Therefore the probability that person A will fail given that person B will pass [tex]\frac1{14}[/tex].
Step-by-step 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 [tex]\frac78[/tex] and the probability that person B will pass the examination is [tex]\frac47[/tex].
The probability that A will fall is [tex]=1-\frac 78[/tex]
[tex]=\frac{8-7}{8}[/tex]
[tex]=\frac18[/tex]
Therefore the probability that person A will fail given that person B will pass
=P(A will fail)×P(B will pass)
[tex]=\frac18\times \frac47[/tex]
[tex]=\frac1{14}[/tex]
