Answer:
Option B.
Step-by-step explanation:
From the given venn diagram it is clear that
[tex]A={1,2}[/tex]
[tex]B={1,2,3,4,5,6}[/tex]
[tex]A\cap B={1,2}[/tex]
Since the intersection of A and B is non-empty, therefore by conditional probability
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]
[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]
Therefore, the correct option is B.
