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1. |
Four blocks are placed in a paper bag. Each block is marked with a different letter, A, C, T, or E. Several children are playing a game by picking three blocks out of the bag without looking into the bag as they choose. Anyone who picks the three blocks that spell CAT wins a point. What is the probability of picking the blocks marked C, A, and T? |
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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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2. |
A box of crayons contains 8 blue, 9 red, and 13 yellow. Find the probability of first choosing a yellow, then a blue, and then another yellow crayon if there is no replacement. |
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A. |
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B. |
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C. |
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D. |
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3. |
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 0.0385 |
B. |
or about 0.0015 |
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C. |
or about 0.0060 |
D. |
or about 0.0392 |
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Hint |
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4. |
A line of fit is drawn on a scatter plot showing the number of pets owned by automobile owners and the number of miles driven each month. What would probably be the best description of the slope of this line? |
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A. |
negative |
B. |
positive |
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C. |
zero |
D. |
undefined |
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Hint |
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5. |
Draw a box-and-whisker plot of the data. |
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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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6. |
Find 12P4. |
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A. |
19,958,400 |
B. |
95,040 |
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C. |
42 |
D. |
11,880 |
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Hint |
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7. |
A briefcase combination lock contains 4 digits. Each digit is a number between 0 and 9. How many different combinations are possible if each number can only be used once? |
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A. |
10,000 |
B. |
5,040 |
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C. |
7,200 |
D. |
40 |
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Hint |
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8. |
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even? |
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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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9. |
What is the probability of randomly drawing a ten or a club from a standard deck of 52-playing cards? |
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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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10. |
The table shows the results when a number cube was rolled. What is the experimental probability of rolling an even number? |
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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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11. |
The table shows the results of rolling a number cube over three separate experiments. What is the experimental probability of rolling a number that is greater then or equal to five? |
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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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12. |
Suppose three coins are tossed, and each time, they turn up heads. What is the probability that the next toss will be heads? |
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A. |
0.125 |
B. |
0.9375 |
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C. |
0.5 |
D. |
0.0625 |
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Hint |
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13. |
Suppose that the mean is 50. How many standard deviations away is the value 65? |
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A. |
about 2 standard deviations |
B. |
cannot be determined from given information |
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C. |
about 1 standard deviation |
D. |
within 1 standard deviation |
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Hint |
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14. |
Compute the variance and standard deviation for the set of {3, 4, 4, 7, 9, 9, 12, 16}. Round to the nearest tenth. |
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A. |
15.8; 4.0 |
B. |
17.5; 4.2 |
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C. |
4.2; 2.0 |
D. |
16.5; 4.1 |
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Hint |
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