Question:
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 ____
Author: Incredible SnipeAnswer:
(1/4)(1/5) = 1/20
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Alternative answers:
(1/4)^2(1/5)^2 = (1/16)(1/25) = 1/400
(1/4)^2 + (1/5)^2 = (1/16) + (1/25) = (25/400) + (16/400) = 41/400
(1/4 + 1/5)^2 = (5/20 + 4/20)^2 = (9/20)^2 = 81/400
(1/4) + (1/5) = (5/20) + (4/20) = 9/20