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1. |
What is the value of P(8, 4)? |
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A. |
1680 |
B. |
6720 |
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C. |
26 |
D. |
70 |
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Hint |
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2. |
How many ways can 8 people be seated at a round table if one position has a phone? |
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A. |
120 |
B. |
40,320 |
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C. |
5040 |
D. |
720 |
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Hint |
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3. |
Four male and six female students have been selected as qualifiers for 2 college scholarships. If the 2 finalists are to be selected at random, what are the odds that both will be female? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
The probability of being accepted to attend City College is . What are the odds against being accepted? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Statistics collected in a particular coal-mining region show that the probability that a miner will develop respiratory problems is . Also, the probability that a miner will develop back problems is . If one health problem does not affect the other, what is the probability that a randomly selected miner will develop respiratory problems but will not develop back problems? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Sharon tossed three coins. What is the probability that she tossed exactly two tails, given that she tossed at least 1 tail? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
In Mr. Jonas' homeroom, 70% of the students have brown hair, 25% have brown eyes, and 5% have both brown hair and brown eyes. A student is excused early to go to a doctor's appointment. If the student has brown hair, what is the probability that the student also has brown eyes? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Determine the probability of getting exactly 2 heads if 4 fair coins are tossed. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Using a standard deck of cards, how many 7-card hands are possible that have 4 queens, 2 jacks, and the King of spades? |
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A. |
64 |
B. |
16 |
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C. |
24 |
D. |
6 |
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Hint |
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10. |
How many 8-digit numbers can have the digits 4, 5, 9, 4, 8, 8, 9, and 2? |
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A. |
40,320 |
B. |
10,080 |
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C. |
8,610 |
D. |
5,040 |
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Hint |
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11. |
Find the probability of choosing either a blue ball or a green ball from a bag containing 3 blue, 5 green, 1 red, and 7 yellow balls. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
The probability of tossing a tail on a bent coin is . The coin is tossed 5 times. Find the probability of tossing exactly 3 tails. |
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A. |
0.3292 |
B. |
0.3028 |
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C. |
0.3114 |
D. |
0.2906 |
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Hint |
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