Question

A spinner with 10 equally sized slices has 2 red slices , and 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or yellow slice?

Answer 1

Given parameters:

Number of equally sized slices = 10

Red slices  = 2

Yellow slices  = 4

Blue slices  = 4

Unknown:

Probability that the dial stops on a red or yellow color  =?

Solution:

Probability is the likelihood of an event to occur.

   Probability  = $\frac{Possible outcome }{Total outcome}$  

   This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.

Pr(red  or yellow) = Pr(red) + Pr(Yellow)

                             = $\frac{2}{10}$  + $\frac{4}{10}$

                              = $\frac{6}{10}$

                              = $\frac{3}{5}$

The probability of red or yellow is $\frac{3}{5}$