There are 9 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 6 women and 8 men? Round your answer to three decimal places.

0.534

Step-by-step explanation:

There are 9 women and 10 men in a game show.

The producer wants to choose 6 women and 8 men at random.

The probability of choosing 6 women will be 6/9 while for men will be 8/10. So we multiply both together.

= 6/9 × 8/10

= 0.667 × 0.8

= 0.534

The probability of choosing 6 women and 8 men is 0.534.