Question

From a group of 150 salesman, one will be selected at random to attend a special meeting. If 52 of them are unmarried and 72 are college graduates and ¾ of 52 that are unmarried are college graduates. Find the probability that the salesman selected at random will be neither single nor college graduates.​

Answer 1

If of the 52 unmarried are college graduates, then 39 are both unmarried and college graduates. Then 52 minus 39 = 13 are unmarried and not college graduates and 72 minus 39 = 33 are college graduates that are not unmarried. So 13 + 39 + 33 are either unmarried, college graduates, or both. The rest of the 150, you do the arithmetic, are both not unmarried and not college graduates

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