If P (A) = 0.25, P (B) = 0.60 and P (A and B) = 0.15, are the event A and B independent? Explain/show work.

event A and B are independent because P (A and B) = P (A) x P (B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P (A and B) = P (A) x P (B)

Given;

P (A) = 0.25

P (B) = 0.60

P (A and B) = 0.15

Now, let's check if P (A and B) will be equal to P (A) x P (B)

P (A) x P (B) = 0.25 x 0.60 = 0.15

P (A and B) = P (A) x P (B), thus event A and B are independent.