An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+2) will be divisible by 3 ?  Choose the correct choice
A) 1 / 9	B) 1 / 3	C) 1 / 2	D) 2 / 3	E) 5 / 6

Rationale: n ( n + 2 ) to be divisible by 3 either n or n + 2 must be a multiples of 3 . in each following group of numbers : { 1 , 2 , 3 } , { 4 , 5 , 6 } , { 7 , 8 , 9 } , . . . , { 97 , 98 , 99 } there are exactly 2 numbers out of 3 satisfying the above condition . for example in { 1 , 2 , 3 } n can be : 1 , or 3 . thus , the overall probability is 2 / 3 . answer : d .
Answer: D