Since the events are dependent, the probability of occurrence of event B will impact the probability of occurrence of event A. So we will be using the formula of conditional probability to find P(A ∩ B).
[tex]P(A|B)= \frac{P(A*B)}{P(B)} \\ \\
P(A*B)=P(A|B)P(B) [/tex]
Here P(A*B) indicates P(A ∩ B).
Using the values, we get:
P(A ∩ B) = 0.25 x 0.4 = 0.1
Thus, option A gives the correct answer.
