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2020 AMC 10A Problem 25

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2020 AMC 10A Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 5 of 5 · about 12 min · position P21-25

Jason rolls three fair standard six-sided dice. Then he looks at the rolls and chooses a subset of the dice (possibly empty, possibly all three dice) to reroll. After rerolling, he wins if and only if the sum of the numbers face up on the three dice is exactly 7.7. Jason always plays to optimize his chances of winning. What is the probability that he chooses to reroll exactly two of the dice?

  1. A)

    736\frac{7}{36}

  2. B)

    524\frac{5}{24}

  3. C)

    29\frac{2}{9}

  4. D)

    1772\frac{17}{72}

  5. E)

    14\frac{1}{4}

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