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Based on a study, It was determined that eye colors in the United States are distributed:...

Based on a study, It was determined that eye colors in the United States are distributed: 40% brown, 35% blue, 12% green, 7% grey, 6% hazel.

If three people are selected, what is the probability the first person will have blue eyes, the second person will have green eyes, and the third person will have grey eyes?

Math   Statistics-And-Probability   
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Answer #1

Probability of a person with brown eyes = 40% = 0.40

Probability of a person with blue eyes = 35% = 0.35

Probability of a person with green eyes = 12% = 0.12

Probability of a person with grey eyes = 7% = 0.07

Probability of a person with hazel eyes = 6% = 0.06

Probability the first person will have blue eyes, the second person will have green eyes, and the third person will have grey eyes

= Probability of a person with blue eyes * Probability of a person with green eyes * Probability of a person with grey eyes

= 0.35 * 0.12 * 0.07

= 0.0029 = 0.29 %

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