If PA 050 PB 030 and PA B 015 then A and B are independen

If P(A) = 0.50, P(B) = 0.30, and P(A B) = 0.15, then A and B are independent events. True or False

Solution

if are independent P(A and B) = P(A) * P(B)

we have that P(A and B) = 0.15

so if they are independent the multiplication will be equal

lets see

0.30 * 0.50 = 0.15

is equal so its true, they are indepdnents events