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A ball is drawn at random from a randomly chosen bag. What is the maximum probability the drawn ball is red?

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Each of three bags b1, b2, b3 contains only red and blue balls in the quantities:

Bag b1
red = 2 balls
blue = x2 – 6x + 13 balls

Bag b2
red = 3 balls
blue = x2 – 6x + 12 balls

Bag b3
red = 4 balls
blue = x2 – 6x + 11 balls

A ball is drawn at random from a randomly chosen bag. What is the maximum probability the drawn ball is red?
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posted Dec 3, 2021 by Prachi Sharma

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