Question 1106130
If she takes out 15 pairs, then she could still have
all silver, all platinum, or a mixture of those
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The same is true if she took out 17 pairs
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If she took out 21 pairs, she could have all platinum,
or a mixture of platinum and silver
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If she took out 21 + 17 = 38 pairs, she could have
all platinum and all silver
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If she took out 39 pairs, she is 100% certain to have
at least 1 pair of gold