Apply and interpret the general Multiplication Rule with conditional probability.
Compute a without-replacement two-step probability using the Multiplication Rule
Problem
For two aces without replacement, form the product using \(4\) of \(52\) cards on the first draw and \(3\) of the remaining \(51\) on the second.
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What this problem is really about
Without replacement, the second branch must use the deck remaining after the first favorable draw. We’ll form the first-ace probability, decrement both ace and card counts, multiply the updated conditional branch along the path, and reduce the resulting two-draw probability.
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