112 Table 322 identifies a group of children by one of four

112. Table 3.22 identifies a group of children by one of four hair colors, and by type of hair. This content is available for free at CHAPTER 3I PROBABILITY TOPICS 211. Hair Type Brown Blond Black Red Totals Wavy 20 15 43 80 15 12 Straight 20 215 Totals Table 3.22 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 Bis the event of achild having brown hair, find the probability of the complement of B. g. n words, what does the complement of Brepresent?

Solution

b) P( wavy hair)= 43/215= 0.2

c) P(Brown or Blond)= 120/215= 0.5581

d) P(Wavy Brown) =20/215= 0.0930

e) P(Red/sraight)= 12/172= 0.0698

f) P(B\')= 1-(100/215)= 115/215= 0.5349

g) Childs without Brown hair

	Brown	Blond	Black	Red	tot
wavy	20	5	15	3	43
straight	80	15	65	12	172
tot	100	20	80	15	215