Problem # 14: A box contains 5 black balls, 7 red balls, and 3 green balls. Three balls are drawn, (with replacement). Find the probability of each of selecting of a red ball, then a green ball, and then a black ball.

Group of answer choices

0.5

0.310

0.325

0.031

Problem # 15: A box contains 5 black balls, 7 red balls, and 3 green balls. Three balls are drawn, (with replacement). Find the probability of selecting three red balls.

Group of answer choices

0.132

0.25

0.102

0.5

Problem # 16: Two balls are drawn from a bag containing 24 red and 16 black balls (without replacement) .Find the probability of selecting a red ball, then a black ball.

Group of answer choices

0.5

0.2

0.32

0.246

Problem # 17: Two balls are drawn from a bag containing 24 red and 16 black balls (without replacement) .Find the probability of selecting two black balls.

Group of answer choices

0.1

0.5

0.15

0.154

Example # 18: Urn 1 contains 6 red balls and 2 black balls. Urn 2 contains 3 red balls and 7 black ball. Urn 3 contains 3 red balls and 5 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be black.

Group of answer choices

0.333

0.25

0.525

1.575

Example # 19: A college cafeteria surveyed the students who ate breakfast there for their coffee preferences. The results are summarized as follows:

	Do not drink coffee	Prefer regular coffee	Prefer decaf coffee	Total
Female	25	85	40
Male	15	115	20
Total

A student is selected at random from this group. Find the probability that the student is a female, given that the student doesn't drink coffee.

Group of answer choices

0.383

0.25

0.2

0.625

Example # 20: At a large university, the probability that a student takes physics and is on the dean's list is 0.075. The probability that the student is taking physics is 0.15. Find the probability that the student is on the dean's list given that he or she is taking physics.

Group of answer choices

0.15

0.075

0.5

0.250

Example # 21: How many three - digits numbers can be formed using the digits

{1, 2, 3, 4, 5} if digits cannot be repeated?

Group of answer choices

60

5

50

125

Example # 22: How many three - digits numbers can be formed using the digits

{1, 2, 3, 4, 5} if digits can be repeated?

Group of answer choices

5

125

50

60

Problem # 23: A new employee has a choice of 7 health care plans, 4 retirement plans, and 3 different expense accounts. If a person selected 1 health care plan, 1 retirement plan, and 1 expense account, how many different options does she or he have?

Group of answer choices

21

49

84

28

Problem # 24: How many different ways a slate of officers consisting of a chair, vice-chair, and secretary be selected from a group of 10 people?

Group of answer choices

120

60

30

720

Problem # 25: There are 12 students who wish to enroll in a particular course. There are only 5 seats left in the classroom. How many different ways can 5 students be selected to attend the class?

Group of answer choices

92

792

190

60