Our game is the following: we are given 10 boxes with 1 ball, 15 boxes with 2 balls, 20 boxes with 3 balls, and 5 boxes with no ball. We open a box, if the number of balls is odd, we get 5 points. Otherwise, we loose 2 points. What is the expected value of the points one can get in a game? Here's what I've tried: suppose that X is a function that assigns -2 and 5 values based on the number of balls in the box, so I multipled -2 by 10/50, then by 20/50, and I multipled 5 by 15/50 and 5/50 and summed that all up, which I think will give me the expected value. Am I thinking correctly?
2026-04-12 16:59:25.1776013165
Expected value of the points one can get in a game
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