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12 June, 21:44

Paco uses a spinner to select a number from 1 through 5, each with equal probability. Manu uses a different spinner to select a number from 1 through 10, each with equal probability. What is the probability that the product of Manu's number and Paco's number is less than 30?

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  1. 12 June, 23:22
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    There are 5 x 10 = 50 different outcomes.

    Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.

    Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.

    The probalility, then, is 41/50 = 0.82
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