Your friend will put 100 balls with 5 different colors in a bag and tell you the number of balls for each color. Then you will randomly choose a ball and guess its color. After seeing the ball, if your guess is correct, you will take the ball. If not, then your friend will take the ball. This game will continue until all the balls are taken. Both of you try to get as many balls as you can.
What is the maximum number of balls your friend can take?
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