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1. |
What does the expected value of a fair game equal? |
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A. |
zero |
B. |
twice the payoff |
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C. |
one |
D. |
half the payoff |
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Hint |
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2. |
Based on past sweepstakes a company expects 600,000,000 entries. Find the expected values of Sweepstake B shown in the chart. Round to the nearest ten thousandth. |
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A. |
0.0185 |
B. |
0.0019 |
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C. |
0.0036 |
D. |
0.0142 |
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Hint |
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3. |
A school is thinking of selling candy bars as a fundraiser. The company states the probability of making $20,000 is 0.7 and the probability of losing $6500 is 0.37. The company claims that on average any club makes over $10,000. Is this claim accurate? Why or why not? |
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A. |
no; The expected value was over $10,000 |
B. |
yes; The expected value was over $10,000 |
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C. |
no; The expected value is under $10,000 |
D. |
yes; The expected value is under $10,000. |
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Hint |
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4. |
Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a blue marble receives 2 points. Otherwise the child loses one point. Is the game fair? Why or why not? |
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A. |
yes; The expected value does not equal zero. |
B. |
no; The expected value does not equal zero. |
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C. |
yes; The expected value is equal to zero. |
D. |
no; The expected value is equal to zero. |
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Hint |
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5. |
Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a red marble receives 3 points. Otherwise the child loses one point. Is the game fair? Why or why not? |
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A. |
yes; The expected value does not equal zero. |
B. |
no; The expected value is equal to zero. |
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C. |
no; The expected value does not equal zero. |
D. |
yes; The expected value is equal to zero. |
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Hint |
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