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1. |
Four blocks are placed in a paper bag. Each block is marked with a different letter, A, C, T, or E. Several children are playing a game by picking three blocks out of the bag without looking into the bag as they choose. Anyone who picks the three blocks that spell CAT wins a point. What is the probability of picking the blocks marked C, A, and T? |
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A. |
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B. |
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C. |
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D. |
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2. |
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 100 points. |
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A. |
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B. |
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C. |
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D. |
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3. |
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points. |
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D. |
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4. |
Find 12P4. |
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A. |
95,040 |
B. |
11,880 |
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C. |
19,958,400 |
D. |
42 |
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Hint |
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5. |
Find 8P3. |
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A. |
336 |
B. |
21 |
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C. |
1,680 |
D. |
24 |
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Hint |
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6. |
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. If the students are chosen randomly, what is the probability that 6 seniors, 2 juniors, and 2 sophomores will be selected? |
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D. |
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7. |
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble? |
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B. |
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C. |
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8. |
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a white marble followed by a marble that is not black? |
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A. |
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C. |
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9. |
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. |
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B. |
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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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11. |
The table shows the results of rolling a number cube over three separate experiments. What is the experimental probability of rolling a six? |
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12. |
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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C. |
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D. |
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13. |
Calculate 12C2 |
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A. |
132 |
B. |
48 |
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C. |
66 |
D. |
1 |
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Hint |
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14. |
How many ways can a 3-person committee be chosen from 13 people if there are no restrictions? |
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A. |
858 |
B. |
1716 |
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C. |
286 |
D. |
143 |
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Hint |
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