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A bag contains 16 red balls and 20 blue balls only. How many white balls...

Mathematics
JAMB 1998

A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to \(\frac{2}{5}\)

  • A. 4
  • B. 20
  • C. 24
  • D. 40
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Correct Answer: Option A
Explanation

Number of red balls = 16,

Number of blue balls = 20

Let x represent the No of white balls to be added

∴ Total number of balls = 36 + x
Pr( red ball) = \(\frac{ 16}{ 36 + x } = \frac{2}{5}\) (remember that Pr( red ball ) = \frac{2}{5}\))

cross multiplying

 2(36 + x) = 80

2x =  80 - 72

2x = 8

x = \(\frac{8}{2}\)

= 4


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