Events X and Y Are Independent of Each Other

Multiple Choice

Events X and Y are independent of each other. If the probability of event X occurring is 1 in 4, and the probability of event Y occurring is 1 in 5, the probability of both events occurring is ____.

A) (1/4) ²+ (1/5) ²= (1/16) + (1/25) = (25/400) + (16/400) = 41/400
B) (1/4) + (1/5) = (5/20) + (4/20) = 9/20
C) (1/4) ²(1/5) ²= (1/16) (1/25) = 1/400
D) (1/4) (1/5) = 1/20
E) (1/4 + 1/5) ²= (5/20 + 4/20) ²= (9/20) ²= 81/400