The following table identifies a group of children by one of four hair colors, and by type of hair. Hair Type Brown Blond Black Red Totals Wavy 20 16 4 43 Straight 81 17 10 Totals 20 216 O Part (a) Complete the table. Hair Type Brown Blond Black Red Totals Wavy 20 16 4 43 Straight 81 17 10 Totals 20 216 O Part (b) What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.) O Part (c) What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.) O Part (d) What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.) O Part (e) What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.) O Part (f) If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.) O Part (g) If B is the event of a child having brown hair, what does the complement of B represent? The complement of B would be the event of a child having wavy or straight hair. o The complement of B would be the event of a child having blond or black hair. o The complement of B would be the event of a child not having brown hair. o The complement of B would be the event of a child having blond hair.

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The following table identifies a group of children by one of four hair colors, and by type of hair.
Hair Type
Brown
Blond
Black
Red
Totals
Wavy
20
16
4
43
Straight
81
17
10
Totals
20
216
O Part (a)
Complete the table.
Hair Type
Brown
Blond
Black
Red
Totals
Wavy
20
16
4
43
Straight
81
17
10
Totals
20
216
O Part (b)
What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.)
O Part (c)
What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.)
O Part (d)
What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.)
O Part (e)
What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.)
O Part (f)
If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.)
O Part (g)
If B is the event of a child having brown hair, what does the complement of B represent?
The complement of B would be the event of a child having wavy or straight hair.
O The complement of B would be the event of a child having blond or black hair.
o The complement of B would be the event of a child not having brown hair.
The complement of B would be the event of a child having blond hair.
Transcribed Image Text:The following table identifies a group of children by one of four hair colors, and by type of hair. Hair Type Brown Blond Black Red Totals Wavy 20 16 4 43 Straight 81 17 10 Totals 20 216 O Part (a) Complete the table. Hair Type Brown Blond Black Red Totals Wavy 20 16 4 43 Straight 81 17 10 Totals 20 216 O Part (b) What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.) O Part (c) What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.) O Part (d) What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.) O Part (e) What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.) O Part (f) If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.) O Part (g) If B is the event of a child having brown hair, what does the complement of B represent? The complement of B would be the event of a child having wavy or straight hair. O The complement of B would be the event of a child having blond or black hair. o The complement of B would be the event of a child not having brown hair. The complement of B would be the event of a child having blond hair.
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