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You are one of 10 students performing in a school talent show. The order of the performances is determined at random. The first 5 performers go on stage before the intermission.a. What is the probability that you are the last performer before the intermission and your rival performs immediately before you?b. What is the probability that you are not the first performer?

A) 0.01B) 0.9

Geometry

Chapter 12

Probability

Section 5

Permutations and Combinations

Piedmont College

University of Michigan - Ann Arbor

Utica College

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all right, so there are 10 performers. And so the probability that you are the 5th 1 the one who goes just before intermission would be one out of 10. And then the probability that your rival is the 4th 1 the one right before you is also one out of 10. So for both of those things to happen, we multiply 1/10 time's 1/10 and we get 1 1/100 So that's the probability. If you express it as a decimal, it's 0.1 And the probability that you're not first is equal to the probability that someone else is first. And there are nine other people, so that would be nine out of 10 and as a decimal, that would be 0.9.

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