Events X and Y Are Independent of Each Other

question 2

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