A random spinner has equalsized regions numbered 1 through 1

A random spinner has equal-sized regions numbered 1 through 18. The spinner stops on an even number or a multiple of 3.

15

1

Solution

In number from 1 to 18, 9 are even numbers. And numbers 3, 6, 9, 12, 15, 18 are the multiple of 3. So numbers that are either even or multiple of 3 is

2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18

That is out of 18 outocmes, 12 are in favor of event \"The spinner stops on an even number or a multiple of 3\". So the probability that the spinner stops on an even number or a multiple of 3 is

P = 12 / 18 = 2 / 3

Hence, required probability is 2 / 3.