Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at

Question

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 F will perform last. b. Comic A will perform second and Comic C will perform first. c. The comedians will perform in the following order: F, A, C, D, B, E d. Comic B or Comic E will perform fifth. a. (Type a fraction. Simplify your answer.) b. (Type a fraction. Simplify your answer.) C. (Type a fraction. Simplify your answer) d. Type a fraction. Simplify your answer.)

Explanation / Answer

a) P(comic F will perform last)=1/6 (as there are 6 options for last position)

b)P(comic A will perform second and Comic C wil perform first)=(1/6)*(1/5)=1/30

c)

P(in given order)=1/(6*5*4*3*2*1)=1/720

d)

P(comic B or E will perform fifth)=2/6 =1/3

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