Question

A judge calls 36 citizens of whom 24 are men and 12 are women. He must empanel a jury of 6 persons.

1. How many different groups of three women can be chosen for jury duty from the 12 in the pool?

            a) 33                 b) 69                 c) 220                d) 2,024             e) 1,320

2. How many different groups of 3 men can be chosen to serve on the jury from the 24 in the pool?

                        a) 33                 b) 69                 c) 220                d) 2,024             e) 12,144

3. What is the probability that due to chance alone the judge chooses a jury of exactly 3 men and 3 women?

            a) 0.2286           b) 0.6667           c) 0.0007           d) 0.0012           e) 0.50

Answer 1

TOPIC:Permutation and Combination and the Classical definition of probability.