A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun four times, approximately what is the probability that the product of the four winning sectors’ integers will be even? Choose the correct choice from the following
A) 50% B) 67% C) 88% D) 94% E) 98%
The only way to have an odd product is if all 4 integers are odd.   P(odd product) = 1/2*1/2*1/2*1/2 = 1/16   P(even product) = 1 - 1/16 = 15/16 which is about 94%   The answer is 94%.
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A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun four times, approximately what is the probability that the product of the four winning sectors’ integers will be even?