What is the probability of selecting 4 men and 3 women out of a group of 11 men and 8 women?

To find the probability of selecting 4 men and 3 women from a group of 11 men and 8 women, you can use the combination formula. The number of ways to choose 4 men from 11 is ( \binom{11}{4} ), and the number of ways to choose 3 women from 8 is ( \binom{8}{3} ). The total number of ways to choose 7 people from the combined group of 19 (11 men + 8 women) is ( \binom{19}{7} ). The probability is then given by the ratio:

[ P = \frac{\binom{11}{4} \times \binom{8}{3}}{\binom{19}{7}}. ]