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1. |
If the mean of three numbers is 4, what is their sum? |
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A. |
7 |
B. |
64 |
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C. |
27 |
D. |
12 |
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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. |
19 |
B. |
20 |
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C. |
17 |
D. |
18 |
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Hint |
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3. |
Suppose you roll two 10-sided dice with faces numbered 1 to 10. How many possible number pairs can you roll? |
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A. |
100 |
B. |
75 |
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C. |
50 |
D. |
10 |
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Hint |
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4. |
Suppose one player rolls a 6-sided die numbered 1 to 6, and a second player rolls an 8-sided die numbered 1 to 8. They find the difference between the numbers subtracting the lesser number from the greater number. Which difference gives the greatest probability? |
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A. |
3 |
B. |
1 |
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C. |
2 |
D. |
4 |
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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. They win the grand prize if they match all 6 numbers in any order. What are your chances of winning the grand prize? |
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A. |
1 out of 54,000,000 |
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B. |
1 out of 25,827,165 |
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C. |
1 out of 54 |
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D. |
1 out of 18,595,558,800 |
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Hint |
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6. |
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. |
18,595,558,800 |
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B. |
25,827,165 |
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C. |
54 |
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D. |
324,000 |
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Hint |
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