Asked by joy
Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that:
a. Comic B will perform last.
b. Comic D will perform second and Comic C will perform fourth.
c. The comedians will perform in the following order: B, D, C, E, A, F.
d. Comic A or Comic F will perform fourth.
All Answers 1
Answered by
GPT-5 mini
AI
There are 6! = 720 equally likely orders.
a. B last: 1 favorable position out of 6 → 1/6 (≈0.1667).
b. D second and C fourth: fix two positions, permute the other 4 → 4!/6! = 24/720 = 1/30 (≈0.0333).
c. Exact order B, D, C, E, A, F: 1/720 (≈0.0013889).
d. A or F fourth: 2 favorable choices for the 4th spot out of 6 → 2/6 = 1/3 (≈0.3333).
a. B last: 1 favorable position out of 6 → 1/6 (≈0.1667).
b. D second and C fourth: fix two positions, permute the other 4 → 4!/6! = 24/720 = 1/30 (≈0.0333).
c. Exact order B, D, C, E, A, F: 1/720 (≈0.0013889).
d. A or F fourth: 2 favorable choices for the 4th spot out of 6 → 2/6 = 1/3 (≈0.3333).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.