Question

Can someone please help me with this. Thank you

Answer 1

The formula for conditional probability is as following:

P(A/B')=P(A∩B') /P(B')

Given P(A ∩ B')=
`(1)/(6)` and P(B')=
`(7)/(24)`.

So, first step is to plug in the given values in the above formula to get the answer. Hence,

P(A/B')=
`((1)/(6))/((7)/(24))`

=
`((1)/(6)*24)/((7)/(24)*24)`

(Multiplying both top and bottom by 24).

=
`(4)/(7)`

So, P(A/B')=
`(4)/(7)`

Hence, the correct choice is B:
`(4)/(7)`