In a study, the residents of Edinburgh, Scotland, were classified as having eith

Question

In a study, the residents of Edinburgh, Scotland, were classified as having either black hair, brown hair, blonde hair, or red hair. The probabilities of a randomly selected resident having black, brown, or blonde hair are .17, .47, and .20 respectively. Assuming each resident has one of these four hair colors,

(a) what is the probability that a randomly selected resident has red hair?

(b) what is the probability that a randomly selected resident has brown or black hair?

(c) what is the probability that a randomly selected resident does not have blonde hair?

Explanation / Answer

P(black hair) = 0.17

P(brown hair) = 0.47

P(blonde hair) = 0.20

a) Probability that a randomly selected resident has red hair, P(red hair) = 1 - P(black hair) - P(brown hair) - P(blonde hair)

= 1 - 0.17 - 0.47 - 0.20

= 0.16

b) Probability that a randomly selected resident has brown or black hair = P(brown hair) + P(black hair)

= 0.47 + 0.20

= 0.67

c) Probability that a randomly selected resident does not have blonde hair = 1 - P(blonde hair)

= 1 - 0.20

= 0.80

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