This table identifies a group of children by one of four hair colors, and by typ

Question

This table identifies a group of children by one of four hair colors, and by type of hair.

a. Complete the table.

b. What is the probability that a randomly selected child will have wavy hair?

c. What is the probability that a randomly selected child will have either brown or blond hair?

d. What is the probability that a randomly selected child will have wavy brown hair?

e. What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?

f. If B is the event of a child having brown hair, find the probability of the complement of B.

g. In words, what does the complement of B represent?

Explanation / Answer

a)

b)

P(wavy) = 43/215 = 0.2 [ANSWER]

c)

P(brown or blonde) = (100 + 20)/215 = 0.558139535 [ANSWER]

d)

P(wavy and brown) = 20/215 = 0.093023256 [ANSWER]

e)

P(red|straight) = 12/172 = 0.069767442 [ANSWER]

f)

P(not brown) = 1 - (100/215) = 0.534883721 [ANSWER]

g)

It is the event that the child's hair is not brown in color.

Hair Type Brown Blonde Black Red Totals Wavy 20 5 15 3 43 Straight 80 15 65 12 172 Total 100 20 80 15 215

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