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Alex chooses a number at random from the set {1, 2, 3, 4, 5}.  Winnie also chooses a number at random from the same set.  (They can choose the same number.)  What is the probability that the product of their numbers is at least 4?

 Aug 7, 2024
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The denominator would be \(5\cdot5=25\). The only ways that the product is less than 4 is when they choose (1, 1) (1, 2), (1, 3), (2, 1), and (3, 1), which is 5 cases. So, \(25 - 5 = 20\), so the answer is \(\frac{20}{25} = \frac{4}{5}\).

 Aug 7, 2024

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