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*!!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?

Respuesta :

WojtekR
We know that:

[tex]P(\text{red})+P(\text{blue})+P(\text{green})=1[/tex]

so:

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