is Question: 1 pl 8 of 16 (7 complete) This Test: 16 pts po Six stand-up comics,

Question

is Question: 1 pl 8 of 16 (7 complete) This Test: 16 pts po 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 C will perform fifth b. Comic D will perform first and Comic F will perform last. c. The comedians will perform in the following order. C, D, F, B, A, E. d. Comic A or Comic E will perform third. a. (Type a fraction. Simplify your answer.) b. (Type a fraction. Simplify your answer.) C. (Type a fraction. Simplify your answer.) (Type a fraction. Simplify your answer.) Enter your answer in each of the answer boxes e

Explanation / Answer

Since there are 6 comics so number of ways of arranging 6 comics is 6! = 720

(a)

Since comic C need to be on 5th position so for remaining 5 comics we have 5 positions remaining is

5! = 120

So the required probability is

120 / 720 = 1/6

(b)

Since comic D need to be on 1st position and comic F need to be on last position so for remaining 4 comics we have 4 positions remaining is

4! = 24

So the required probability is

24 / 720 = 1/30

(c)

Out of 720 orders there is only one is given order so the required probability is

1 /720

(d)

For third position we have 2 choices, rest 5 comics can be arranged in 5! ways so possible number of arrnagements with A or E on third position is 2 *5! = 240.

The required probability is

240 /720 = 1/3

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.