The formula for the conditional probability is:
[tex]P(A|B)= \frac{P(A*B)}{P(B)} [/tex]
This indicates the probability of event A, given that event B has already occurred.
Here P(A*B) indicates P(A∩B).
Using the given values, in the formula, we can write:
[tex]P(A|B)= \frac{ \frac{3}{10} }{ \frac{2}{5} } \\ \\
P(A|B)= \frac{3}{4} [/tex]
Therefore, option D is the correct answer.