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Some white balls put in a basket containing twelve red balls and sixteen black balls....

Mathematics
JAMB 2004

Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the baskets is \(\frac{3}{7}\), how many white balls were introduced?

  • A. 12
  • B. 21
  • C. 28
  • D. 32
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Correct Answer: Option B
Explanation

Number of white balls = x
Number of red balls = 12
Number of black balls = 16
Total number of balls = 28 + x
P(white balls) = 3/7
But P(white balls) \(= \frac{x}{28+x}\)
= \(\frac{3}{7} = \frac{x}{28+x}\)
3(28 + x) = 7x
84 + 3x = 7x
7x - 3x = 84
4x = 84
x = 21

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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