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Question

A bag contains 5 red balls and some blue balls. If the probability of drawing a ball from the bag is that of a red ball, find the number of blue balls in the bag.

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Solution

Let there be x blue balls.
So, the total number of balls =x+5
P(Blue ball) =x(x+5)
P(Red ball) =5(x+5)

Given,
P(Blue) =2× P(Red)
x(x+5)=2×5(x+5)
Solving, we get x as 10.
So, the number of blue balls =10.

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