A miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, 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 option
A) 50%
B) 67%
C) 80%
D) 90%
E) 95%
The only way to have an odd product is if all 4 integers are odd.   P(odd product) = 5/9*5/9*5/9*5/9 = 625/6561   P(even product) = 1 - 625/6561 = 5936/6561 which is about 90%   The answer is 90%.
<result>D</result>
A miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, 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?