Question

Hey can you please help me posted picture of question

Answer 1

The formulas for conditional probability are:

`P(A\cap B')=P(A)\cdot P(B'|A)`

`P(A\cap B')=P(B')\cdot P(A|B')`.
Since
`P(A\cap B')= (1)/(6)` and
`p(B')= (7)/(18)`, you have the equation
`(1)/(6) = (7)/(18) \cdot P(A|B')`.
Therefore,
`P(A|B')= (1)/(6) : (7)/(18) =(1)/(6) \cdot (18)/(7) = (3)/(7)`.
Answer: The correct choice is D.