A bookcase contains 2 statistics books and 5 biology books

Chapter 4

Question 1 How many possible outcomes would there be if three coins were tossed once? a. 2 b. 4 c. 6 d. 8

Question 2 If the probability that it will rain tomorrow is 0.32, what is the probability that it will not rain tomorrow? a. 0.32 b. -0.32 c. 0.68 d. 1.32

Question 3 If a red suit is drawn from an ordinary deck of cards, what is the probability that the card is a diamond? a. b. c. d.

Question 4 At a certain college, there were 600 science majors, 300 engineering majors, and 800 business majors. If one student was selected at random, the probability that the student is an engineering major is a. b. c. d.

Question 5 In a recent study, the following responses were obtained to the question, “Do you favor recycling in your neighborhood?” Yes No No Opinion Males 25 15 10 Females 30 10 10 If a response is picked at random, what is the probability that it came from a male or that it indicated no opinion regarding recycling?

a. b. c. d.

Question 6 A single card is drawn from a deck. Find the probability of selecting a heart or a 9. a. b. c. d.

Question 7 If a single card is drawn from an ordinary deck of cards, what is the probability of drawing a jack, queen, king, or ace?

a. b. c. d.

Question 8 An apartment building has the following distribution of apartments: 1 bedroom 2 bedroom 3 bedroom

1st floor 3 1 1 2nd floor 2 2 2 3rd floor 1 4 1 If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms? a. b. c. d.

Question 9 If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade? a. b. c. d.

Question 10 According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 3 adults at random. The probability that all of them enjoy drinking beer is: a. 0.333 b. 2.400 c. 0.267 d. 0.512

Question 11 A coin is tossed 5 times. Find the probability that all 5 tosses are tails. a. b. c. d.

Question 12 In a second grade class containing 15 girls and 11 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls? a. b. c. d.

Question 13 A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed and then replaced before choosing the next from the machine? a. 0.0264 b. 0.0531 c. 0.0347 d. 0.0482

Question 14 In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl? a. b. c. d.

Question 15 There are 2 blue balls, 4 red balls, and 3 white balls in a bag of balls. If a person selects two of the balls, what is the probability that the second one is blue given that the first one was white? a. b. c. d.

Question 16 In the Happy Hilltop Health Home, 10% of the residents play shuffleboard, 30% of the residents play poker, and 10% of the residents garden. If 5% of the residents play poker and garden, find the probability that a resident plays poker, given that they also garden. a. 50.0% b. 16.7% c. 5.6% d. 7.1%

Question 17 If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes are possible if repetitions are not permitted? A. a. 625 b. 720 c. 7,776 d. 1,296

Question 18 A store manager wants to display 6 different brands of toothpaste in a row. How many ways can this be done? a. 6 b. 30 c. 120 d. 720

Question 19 A furniture manufacturer offers bookcases in 5 different sizes and 6 different colors. If every color is available in every size, then the total number of different bookcases is a. 6 b. 11 c. 30 d. 60

Question 20 There are 4 different mathematics courses, 4 different science courses, and 3 different history courses. If a student must take one of each, how many different ways can this be done? a. 11 b. 14 c. 48 c. 96

Question 21 A group of 4 children are choosing colored pencils to draw a picture. Each child is allowed to select one color. The available colors are green, red, and blue. If the second child refuses to use red pencils and the third child refuses to use blue pencils, then how many ways are there for the children to choose pencils?

Assume that there are 8 pencils available of each color, and different children are allowed to choose the same color. a. 36 b. 24 c. 81 d. 27

Question 22 A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done? a. 5,040 b. 210 c. 840 d. 420

Question 23 FizzFizz soda comes in two varieties, regular and diet. If a researcher has 8 boxes of each, how many ways can he select 2 boxes of each for a quality control test? a. 784 b. 224 c. 447 d. 16

Question 24 A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is a. b. c. d.

Question 25 A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number? a. b. c. d.