1).A box contains 20 balls. Five are blue, seven are red, andeight are black. Four balls are selected at random and withreplacement. Calculate the probability that fewer than two redballs are chosen.
ANSWER: .5630
2. A company recently hired 50 employees. You are given:
(a) Thirty employees are from Iowa; the remaining came fromNew York.
(b) Of the employees who are from Iowa, 30% are males and theremaining are females.
(c) Of the employees who are from New York, 60% are males andthe remaining are females.
(d) Five employees were randomly selected and sent fortraining.
Calculate the probability that three out of the five employeessent for training were male.
ANSWER: .2549
3. There are ten boys and seven girls in a class. Threechildren are randomly chosen from the class to form a committee.Calculate the probability that the committee has more boys thangirls.
ANSWER: .6397
