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How many balls will be in the bowl with the larger number of balls if the probability of drawing a red ball is maximized?
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Solution: Step 1: Determine the goal is to maximize the probability of drawing a red ball from one of two bowls. Step 2: Calculate the distribution that maximizes the probability of drawing a red ball: 1 red ball in one bowl and 49 red balls with 50 blue balls in the other. Step 3: Find the total number of balls in the bowl with the larger number: 49 red + 50 blue = 99 balls. Step 4: Confirm that this distribution maximizes the probability of drawing a red ball and calculate the total balls in the larger bowl.
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