Math Probability 11.1

1. Assuming there is an equal chance of a penny landing with heads or tails up, what is the probability of a penny landing in the following order: heads up, tails up, tails up, heads up.

A. 1/4

B. 1/8

C. 1/16

D. 1/32

2. The probability of it raining on a certain day is 0.22. The probability of the day being cloudy is 0.48. If the 2 events are mutually exclusive, what is the probability that the day will be rainy and cloudy?

A. 72%

B. 34.6%

C. 24%

D. 0%

3. The probability that a yellow car will be sold at a certain used car dealership is 0.24. The probability that a sports car will be sold is 0.09. What is the probability that a yellow sports car will be sold?

A. 21.6%

B. 2.16%

C. 33%

D. 3.3%

4. The possible outcomes of drawing a card from a standard 52 card deck are shown below. Max draws 2 cards from the deck. The first card is a King (K). What is the probability that the second card is not another King?

A. 16/17

B. 1/13

C. 12/13

D. 1/12

5. What is the probability of rolling an even number on a dice, then a 4, and then an odd number (to nearest percent)?

6. Kerry is doing an experiment. Each trial, he spins a spinner and rolls a number cube. The spinner is divided into four equal sections of the colors red, blue, green, and yellow. The faces of the number cube are labeled 1 through 6. What is the probability of spinning a blue and rolling an even number?

A. 2/3

B. 1/3

C. 1/6

D. 1/8

7. 175 eighth-grade students were surveyed to find the most popular color. The colors and the numbers of students that chose them are recorded in the following table. Based on the data in the table above, what is the probability that an eighth-grade student selected at random will not choose blue or black?

A. 24/35

B. 11/35

C. 11/24

D. 5/7

8. The tree diagram above shows all of the outcomes for a trial of flipping a coin three times. Based on the diagram, what is the probability that Jim will flip three heads if he flips the coin three times?

A. 1/3

B. 1/4

C. 1/2

D. 1/8

9. Kelly is doing an experiment. Each trial, he rolls a dice (six-sided number cube) and he flips a coin. Part A How many different outcomes are possible each trial? Make a table or diagram to show all of the possible outcomes of a trial. Part B Using the information from your table or diagram, what is the probability that the next trial will result in an odd number and tails? Show or explain your answer.

10. A gym class has 27 footballs of which 25 are regulation size. Given that the first two balls chosen were regulation size, what is the probability of choosing a non-regulation football at random?

A. 2%

B. 3%

C. 6%

D. 8%

11. A survey shows that 27% of students at Bellevue high are freshman and that 72% of freshman like the schools lunches. What is the probability that a student chosen at random is a freshman that likes school lunch?

A. 19.4%

B. 20.4%

C. 45%

D. 99%

12. Two studies are published to decide whether a new drug helps pain relief. Drug A’s study consisted of 15 people of which 80% of people reported pain relief. Drug B’s study consisted of 950 people of which 74% of people reported pain relief. Which study is more credible?

A. Drug A’s because more people reported pain relief.

B. Drug B’s because the sample size adds more credibility

C. Drug A’s because the sample size adds more credibility.

D. Drug B’s because more people reported pain relief.

13. Which of the following amounts of coin flips would probably result in heads and tails being closest to equal?

A. 2

B. 10

C. 60

D. 150

14. After spinning the spinner shown above 12 times, Joey recorded the results of his experiment in the table above. Part A What is the theoretical probability that the spinner will land on the 10 the next time Joey spins it? Show or explain your answer. Part B How are the results of Joey’s experiment different from the theoretical probability? What could Joey do to get the experimental and theoretical probabilities closer?

15. What is the probability that a family with 3 children has 3 girls if the probability of having a girl is 50%?

A. 1/3

B. 1/8

C. 1/6

D. 1/2

16. There are four players in a golf game. In how many ways can the golfers be arranged in different starting order?

A. 12

B. 16

C. 24

D. 256

17. There are 6! Permutations of the 6 letters of the word matrix. If x is always the last letter, how many permutations are possible?

A. 720

B. 600

C. 240

D. 120

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Math Probability 11.1

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