If two integers between –5 and 3, inclusive, are chosen at random, which of the following is most likely to be true? Choose the correct choice from the following
A) The sum of the two integers is even B) The sum of the two integers is odd C) The product of the two integers is even D) The product of the two integers is odd. E) The product of the two integers is negative
1. The sum of the two integers is even and 2 sum of two integers odd   for sum to be odd -- 5c1*4c1/9c2 = 20/36 thus for even 1-(20/36) = 16/36   3,4 product of two integers even/odd --   for integers to be odd ---- 5c2/9c2 = 52/72 for even 1-52/72 = 20/72   5 for product to be negative -- 0 will not be taken into account. Hence 8 numbers is the set.   5c1 * 3c1/ 8c2 = 15/28   thus comparison is between b 20/36, c 52/72 e 15/28   C is greatest since 52 is much closer to 72 hence much greater than 1/2. 20/36 and 15/28 are much closer to 1/2 though.   Thus The product of the two integers is even.
<result>C</result>
If two integers between –5 and 3, inclusive, are chosen at random, which of the following is most likely to be true?