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 d will perform first. b. comic c will perform first and comic e will perform fourth. c. the comedians will perform in the following order: d, c, e, a, b, f. d. comic b or comic f will perform third.

Probability of any event is defined by

a)

Since any of the six comedians can perform first so the probability that comic D will perform first is given by

b)

The probability of event that comic C will perform first and comic E will perform fourth is given by

c)

The no of ways the comics can perform are all the possible arrangements of 6 comics which are equal to

Out of these arrangements only one will correspond to the order of D,C,E,A,B,F  thus the probability becomes

d)

The probability that comic B or comic F will perform third is given by

where is the probability that comic B will perform third and

is the probability that comic F will perform third

answer: 26

step-by-step explanation:

well, michelle wanted to measure the height of her school's flagpole she placed a mirror on the ground 48 feet from the flagpole then walk backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft from the mirror using similar triangles find the height of the flagpole to the nearest tenth of a foot find the geometric mean of them pair of numbers. its easy math