1 Answer

Ifozest · Answer 1 · 2019-01-09T14:47:09+0000

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.

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