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1. |
Kim needs to choose a 4-digit personal identification number (PIN) to use with her phone card. She may use a digit only once. How many different PINs can she choose from? |
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A. |
5040 |
B. |
8020 |
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C. |
900 |
D. |
5610 |
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Hint |
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2. |
The letters from the word ''alert'' are used to form a password into a school computer system. How many 5-letter passwords can be formed if the letters can be used more than once? |
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A. |
50 |
B. |
625 |
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C. |
120 |
D. |
3125 |
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Hint |
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3. |
Evaluate  |
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A. |
4,032 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Solve n[P(7, 5)] = P(8, 6) for n. |
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A. |
12 |
B. |
4 |
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C. |
8 |
D. |
16 |
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Hint |
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5. |
Multiply C(12, 5)× C(15, 10). |
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A. |
792 |
B. |
2,378,376 |
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C. |
180 |
D. |
3003 |
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Hint |
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6. |
The calculus class is preparing for the Advanced Placement Exam. If there are 12 girls in a class of 20, how many study groups of 3 girls and 2 boys can be formed? |
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A. |
110 |
B. |
5670 |
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C. |
6160 |
D. |
8395 |
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Hint |
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7. |
There are 9 blue and 15 red marbles in a bag. If you draw one marble from the bag at random, what is the probability it is red? |
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A. |
 |
B. |
38% |
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C. |
 |
D. |
62.5% |
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Hint |
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8. |
7 out of 25 students in the Art Club received honorable mention at the local county fair. What are the odds of a club member earning this honor? |
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A. |
18:7 |
B. |
25:7 |
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C. |
7:25 |
D. |
7:18 |
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Hint |
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9. |
Kim has 3 blue sweaters, 2 red sweaters, and 5 white sweaters in a dresser drawer. If she selects 3 sweaters at random with replacement, what is the probability she will select a red one first, white second, and blue third? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Find the probability of drawing a red ace and a red king from a standard deck of cards without replacement. |
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A. |
or about 0.0060 |
B. |
or about 0.0385 |
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C. |
or about 0.0015 |
D. |
or about 0.0392 |
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Hint |
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11. |
Jessie has 3 beaded bracelets, and 4 gold bracelets. She randomly selects 2 to wear to school. What is the probability that she will choose two beaded bracelets? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
3 cards are drawn from a standard deck of 52 cards. Find the probability of drawing either 3 red cards or 3 face cards. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
The probability of a basketball player making a free throw during the regular season is . During a championship game, this player made two out of three attempts. Based on his regular season record, what was the probability of making two out of three attempts? |
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A. |
or about 0.3472 |
B. |
or about 0.2778 |
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C. |
or about 0.6944 |
D. |
or about 0.1389 |
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Hint |
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14. |
As a captain of his football team, Julian called the coin toss for 6 football games. What is the probability that he won the coin toss 4 times and lost 2 times? |
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A. |
or about 0.9375 |
B. |
or about 0.0586 |
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C. |
or about 0.2344 |
D. |
or about 0.4688 |
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Hint |
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15. |
In 1992, 92% of the people surveyed felt that professional athletes were overpaid. If the margin of error for the sampling was 3%, how many people were surveyed? |
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A. |
225 |
B. |
736 |
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C. |
2944 |
D. |
327 |
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Hint |
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16. |
42% of a random sampling of 800 people felt that skim milk was as nutritional as whole milk. Find the margin of error for this sampling. |
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A. |
0.0003045 |
B. |
0.2436 |
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C. |
0.0348999 |
D. |
0.58 |
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Hint |
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