Question

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

Answer 1

Option B.

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)=(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.