请教到数学题

sniperbill

应该怎么做呀？答案选D，谢谢啦

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                  

gyyygyyy

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第三题

sniperbill

第三题：n是偶数的话，都可以满足条件，所以n=2,4,6,……,96，共48个；

n+1是8的倍数也满足条件，则n=8-1,16-1,……,96-1，共12个；

所以概率是(48+12)/96=5/8