A wheel of fortune contains the integers 1 to 100, inclusive. Two people play against each other. On

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A wheel of fortune contains the integers 1 to 100, inclusive. Two people play against each other. One player wins if the wheel lands on a multiple of either 3 or 7, and the other player wins if it lands on a multiple of 4 or 6. If neither player wins, the house takes both bets. What’s the probability that the house wins?

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