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1. |
All whole-number pairs with a sum of 30 are placed into a hat. How many pairs are there? |
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A. |
16 |
B. |
12 |
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C. |
15 |
D. |
30 |
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Hint |
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2. |
Three whole numbers have a mean of 4. How many such whole-number triples exist? |
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A. |
18 |
B. |
20 |
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C. |
17 |
D. |
19 |
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Hint |
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3. |
Suppose you spin one spinner numbered 1 to 3 and another spinner numbered 1 to 5, and multiply the two outcomes. How many possible number pairs can you roll? |
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A. |
15 |
B. |
20 |
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C. |
8 |
D. |
3 |
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Hint |
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4. |
Suppose two players each roll a die and find the difference between the numbers, subtracting the lesser number from the greater number. What is the probability that the difference is 0 or 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
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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6. |
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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 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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