Q:

Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?

Accepted Solution

A:
The spinner is tri-colored, which means there are 3 sections on the spinner. One section is colored blue, one is colored green. Let the third section be colored x.

The outcomes on spinning the spinner twice will be:
(Blue, Blue), (Blue,Green), (Blue,x), (Green, Green), (Green, Blue), (Green, x), (x,x), (x,Blue), (x, Green)

Total number of outcomes = 9

We want to find the probability that spinner lands on the colors blue and green in any order. The favorable outcomes thus will be:
(Blue, Green) and (Green, Blue)

Number of favorable outcomes = 2

The probability that the spinner landed on the colors blue and green in any order = 2/9 

So, this means there are a 2 in 9 chances that the spinner landed on the colors blue and green in any order?