Question

A spinner has 5 equally sized coloured sections. the one section that is red represents one of the 5 sections. if the spinner is spun 9 times, what is the probability that 3 of the outcomes are red?

Answer 1

The probability of getting 3 red outcomes out of 9 spins of a spinner with 5 equal sections can be calculated using combinations and the probability formula.

Step-by-step explanation:

To find the probability that 3 out of 9 outcomes are red, we need to use the concept of combinations. Since there is only one red section on the spinner, there are 9 ways to choose a red outcome for each of the 3 red outcomes. The remaining 6 outcomes will be non-red. Therefore, the probability can be calculated as:

P(3 red outcomes) = (9C3) * (1/5)^3 * (4/5)^6

P(3 red outcomes) = 84 * 0.008 * 0.262

P(3 red outcomes) = 0.17424 or 17.424