Question

The Venn diagram shows the results of two events resulting from rolling a number cube.

Answer 1

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

$A={1,2}$

$B={1,2,3,4,5,6}$

$A\cap B={1,2}$

Since the intersection of A and B is non-empty, therefore by conditional probability

$P(B|A)=\dfrac{P(A\cap B)}{P(A)}$

$P(B|A)\cdot P(A)=P(A\cap B)$

$P(A\cap B)=P(B|A)\cdot P(A)$

Therefore, the correct option is B.