The probability of the spinner landing on green or purple color is [tex]\dfrac{3}{4}[/tex].
As we can see on the spinner that the green portion is covered by half of the spinner while the other half is divided between the orange and purple equally.
What is the probability of each color occurring separately?
The probability of a color occurring is the ratio of the area covered by that color to the total area.
If we divide the spinner into 4 equal parts then the two portions are covered by the green color while the other two portions are taken by purple and orange color.
Probability of color green = [tex]\dfrac{2}{4} = \dfrac{1}{2}[/tex]
Probability of color orange = [tex]\dfrac{1}{4}[/tex]
Probability of color Purple= [tex]\dfrac{1}{4}[/tex]
What is the probability of landing on green or purple?
To find the probability of landing on green or purple, add the two colors probability,
Probability(Green or Purple) = [tex]\dfrac{2}{4}+\dfrac{1}{4} = \dfrac{3}{4}[/tex]
Hence, the probability of the spinner landing on green or purple color is [tex]\dfrac{3}{4}[/tex].
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