Question

a bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.​

Answer 1

Answer:

Hey mate here is your answer

Explanation

Let the number of blue balls be x.

Number of red balls = 5

Total number of balls = x + 5

5

P (getting a red ball) x + 5

X

x + 5

P (getting a blue ball)

Given that

5 X x+5 x+5

10(x + 5) = x² + 5x

x² -5x -50-0

x²10x + 5x -50=0

x(x-10)+5(x-10) = 0

(x - 10) (x + 5) = 0

Noweither x-100orx+5=0

x = 10 or x = -5

But number of balls cannot be negative.

Hence, the number of blue balls is 10.

Hope it helps you

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