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1. |
To win the 2-of-7 lottery game, players must match two numbers from 1 to 7 with those selected in a random drawing. What is the total number of possible pairs in the game? |
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A. |
9 |
B. |
13 |
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C. |
42 |
D. |
21 |
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Hint |
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2. |
In a state lottery held twice per week, players choose 6 numbers from 1 to 54. Find the number of ways the first six numbers can be selected (if order mattered.) |
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A. |
54 |
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B. |
25,827,165 |
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C. |
18,595,558,800 |
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D. |
324,000 |
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Hint |
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3. |
In the three-team playoff structure below, what is the probability that Team C will win assuming every team has an equal chance of winning? |
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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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4. |
In the six-team playoff structure below, how many games does Team D have to win to win the playoff? |
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A. |
3 |
B. |
4 |
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C. |
2 |
D. |
1 |
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Hint |
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5. |
In the six-team playoff structure below, what is the probability that Team B will win assuming every team has an equal chance of winning? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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