Question

*!!DESPERATE FOR HELP!!*

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer 1

We know that:


`P(\text{red})+P(\text{blue})+P(\text{green})=1`

so:


`P(\text{red})+P(\text{blue})+P(\text{green})=1\\\\\\(9)/(20)+(6)/(20)+P(\text{green})=1\\\\\\P(\text{green})=1-(9)/(20)-(6)/(20)\\\\\\P(\text{green})=(20)/(20)-(9)/(20)-(6)/(20)\\\\\\P(\text{green})=(20-9-6)/(20)\\\\\\P(\text{green})=(5)/(20)\\\\\\\boxed{P(\text{green})=(1)/(4)}`