An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+2) will be divisible by 2 ?
Choose the correct choice from the following choices:
A) 1/9	B) 1/3	C) 1/2	D) 2/3	E) 5/6
n(n+2) to be divisible by 2 either n or n+2 must be a multiples of 2.   In each following group of numbers: {1, 2, 3, 4}, {5, 6, 7, 8}, ..., {97, 98, 99, 100} there are EXACTLY 2 numbers out of 4 satisfying the above condition. For example in {1, 2, 3, 4} n can be: 2, or 4. Thus, the overall probability is 2/4 =1/2.   Answer: 1/2.
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An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+2) will be divisible by 2 ?