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 =
`(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)

=
`(2)/(10)` +
`(4)/(10)`

=
`(6)/(10)`

=
`(3)/(5)`

The probability of red or yellow is
`(3)/(5)`