There are women and men with a chance to be on a game show. The producer of the show is going to choose of these people at random to be contestants. What is the probability that the producer chooses women and men? Round your answer to three decimal places.

0.323

Step-by-step explanation:

Heres the full question

There are 8 women and 10 men with a chance to be on a game show. The producer of the show is going to choose of these people at random to be contestants. What is the probability that the producer chooses women and men? Round your answer to three decimal places

solution

total person = 8+10 = 18

total person chosen = 3 + 5 = 8

3 women out of 8 and 5 men out of 10 are chosen.

So,

required probability = 8C3 * 10C5 / 18C8 = 0.323