[求助]一个数学题（我觉得应该选择Ｃ啊）

dongziyuan

Q9:

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?

 Ａ．１／４

Ｂ．３／８

Ｃ．１／２

Ｄ．５／８

Ｅ．３／４

为什么选择Ｄ呢，请大家帮我解释一下

shawlen

N,N+1,N+2中或者N+1是8的倍数，或者N，N+2是4的倍数，所以为12+24*2=60个，所以概率为60/96=5/8

kenisjacque

同意楼上的解答