Apply and interpret the general Multiplication Rule with conditional probability.
Find the probability of an ordered compound event using the multiplication rule
Problem
For red then blue without replacement, use \(4/10\) for the first draw and \(6/9\) for blue after one red is removed. Form the ordered product.
Big Picture
What this problem is really about
An ordered without-replacement event uses a conditional second factor based on what left the collection first. We’ll form the red-first probability, update the remaining total while keeping every blue object, multiply in the stated order, and reduce the path probability.
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