Question

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.

Answer 1

The probability of not spinning a 3 is
`(8)/(9)`

Explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

`(1)/(9) + p = 1`

`p = 1 - (1)/(9) = (9)/(9) - (1)/(9) = (8)/(9)`

The probability of not spinning a 3 is
`(8)/(9)`