Suppose there is a hat that contains the numbers 1,2,3,4, and 5. You seek to find the three. You blindly reach into the hat pulling out a number. If it is wrong, then without replacement you reach for another. When you pull out the three you stop. Each pick before three is subtracted from 0 with your final pick (the three) being added to that total. What is your expected value?

Suppose there is a hat that contains the numbers 1,2,3,4, and 5. You seek to find the three. You blindly reach into the hat pulling out a number. If it is wrong, then without replacement you reach for another. When you pull out the three you stop. Each pick before three is subtracted from 0 with your final pick (the three) being added to that total. What is your expected value?

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