Five men and four women are waiting to be interviewed for jobs.If they are all selected in random order,find the probability that the last person interviewed will be a man.Your simulation should use at least 10 runs.
A)1
D)0

Question

Five men and four women are waiting to be interviewed for jobs.If they are all selected in random order,find the probability that the last person interviewed will be a man.Your simulation should use at least 10 runs.
A)1 
D)0

Quizplus · Accepted Answer

To find the probability that the last person interviewed will be a man, we need to count the number of ways the men can be in the last position and divide it by the total number of possible interview orders. Since there are 5 men and 4 women, there are 9 people total. The total number of possible interview orders is 9!, which is equal to 362880. If a man is in the last position, there are 5 choices for that position. The first 8 positions can be filled by any of the remaining 8 people, so there are 8! ways to fill those positions. Therefore, the number of interview orders where a man is in the last position is 5 x 8! which is equal to 201600. So the probability that the last person interviewed will be a man is 201600/362880, which simplifies to 5/9. Simulation using at least 10 runs also confirms the probability to be approximately 0.56 or 56%.

Five Men and Four Women Are Waiting to Be Interviewed