# Chapter 2 - Section 2.3 - Formulas and Problem Solving - Exercise Set: 86

P(red, yellow, green, blue, or black)=$1$

#### Work Step by Step

We are given that the probability of an event is equal to the number of ways that the event can occur divided by the number of possible outcomes. The spinner is divided into 8 parts, so there are 8 possible outcomes. The spinner has 1 red section, 2 yellow sections, 1 green section, 3 blue sections, and 1 black section. Therefore, P(red, yellow, green, blue, or black)=$\frac{1+2+1+3+1}{8}=\frac{8}{8}=1$. In other words, there is a 100% probability that a spin will land on either a red, yellow, green, blue, or black section, since these colors make up 100% of the sections on the spinner.

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