A spinner is divided into three sections: red, blue, and green. The red section is 1/2 of the area of the spinner. The blue section is 1/4 of the area of the spinner. Give the probability for each outcome

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24-05-2018
Mathematics

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A spinner is divided into three sections: red, blue, and green. The red section is 1/2 of the area of the spinner. The blue section is 1/4 of the area of the spinner. Give the probability for each outcome

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-06-02T23:03:52+02:00

Let x represent the Area of entire spinner.

Red section is 1/2 of the spinner. So Area of red section = x/2
Blue section is 1/4 of the spinner. So Area of blue section = x/4
The remaining section is green. So Area of green section will be:
= Total Area - Area of red - Area of blue

Area of green section = x - x/2 - x/4 = x/4

Probability in this case will be = Area of the section/Total Area of spinner

a) Probability of landing on Red section = (x/2) / x = 1/2

b) Probability of landing on Blue section = (x/4) / x = 1/4

c) Probability of landing on Green section = (x/4) / x = 1/4