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.

yes, event A and B independent

Step-by-step explanation:

given data

P (A) = 0.25

P (B) = 0.60

P (A and B) = 0.15

solution

we know here P (A and B) = 0.15

so we know here for independent

P (A and B) is = P (A) * P (B) ... 1

so we take here R. H. S here in equation 1 and put here value

P (A) * P (B)

P (A) * P (B) = 0.25 * 0.60

P (A) * P (B) = 0.15

so it is equal to L. H. S = R. H. S

so, we can say that A and B are independent