MathDB
2013 PUMaC Team 9

Source:

November 24, 2013
probabilityexpected value

Problem Statement

If two distinct integers from 11 to 5050 inclusive are chosen at random, what is the expected value of their product? Note: The expectation is defined as the sum of the products of probability and value, i.e., the expected value of a coin flip that gives you $10\$10 if head and $5\$5 if tail is 12×$10+12×$5=$7.5\tfrac12\times\$10+\tfrac12\times\$5=\$7.5.
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