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1. |
What is the probability of selecting a red or yellow marble from a bag that contains 20 red marbles, 15 yellow marbles, and 35 green marbles? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
1:1 |
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Hint |
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2. |
A bag contains 7 purple marbles, 5 yellow marbles, 3 white marbles, and 1 black marble. What is the probability of randomly selecting a marble that is not purple? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
In how many different ways can someone arrange 8 books on a shelf? |
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A. |
362,880 |
B. |
4,096 |
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C. |
36 |
D. |
40,320 |
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Hint |
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4. |
A restaurant manager needs to hire three employees: one host, one server, and one cook. Vito, Kendra, Kale, Sachiko, and Ren all applied for a job. How many possible ways are there for the manager to place the applicants? |
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A. |
3 |
B. |
12 |
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C. |
60 |
D. |
120 |
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Hint |
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5. |
Find 8P3. |
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A. |
24 |
B. |
336 |
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C. |
1,680 |
D. |
21 |
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Hint |
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6. |
How many different ways can a coach make a team of 18 players from a tryout of 20 people? |
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A. |
6,840 |
B. |
190 |
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C. |
380 |
D. |
3,420 |
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Hint |
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7. |
A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. How many different ways can the teacher choose 10 students? |
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A. |
360,360 |
B. |
3,003 |
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C. |
133,133 |
D. |
36,036 |
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Hint |
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8. |
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even? |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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9. |
The table shows the results when a number cube was rolled. What is the experimental probability of rolling a three? |
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A. |
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B. |
 |
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C. |
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D. |
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Hint |
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10. |
The table shows the results of rolling a number cube over three separate experiments. What is the experimental probability of rolling a four? |
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A. |
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B. |
 |
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C. |
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D. |
 |
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Hint |
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11. |
A card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card is a spade or a three? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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12. |
A bag of marbles has 3 green marbles, 3 red marbles and 6 yellow marbles. One marble is taken from the bag. It is not replaced. Then another marble is taken from the bag. What is the probability that the first marble is yellow and the second marble is green? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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13. |
A bag of marbles has 4 blue marbles, 1 red marble, 5 green marbles and 6 orange marbles. One marble is taken from the bag. It is not replaced. Then another marble is taken from the bag. What is the probability that the first marble is red and the second marble is green? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Calculate 12P3 |
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A. |
1320 |
B. |
1420 |
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C. |
40 |
D. |
660 |
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Hint |
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