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51 women wore coloured shoes to a party, out of which 21 wore purple and...

Mathematics
NECO 2001

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

  • A. \(\frac{10}{17}\)
  • B. \(\frac{7}{17}\)
  • C. \(\frac{20}{51}\)
  • D. \(\frac{3}{17}\)
  • E. \(\frac{1}{51}\)
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Correct Answer: Option B
Explanation

No of women wearing both purple and white shoes = 21 + 9

= 30 women.

No of women wearing neither purple nor white shoes = 51 - 30

= 21 women

\(\therefore\) Probability of picking a woman wearing neither purple nor white shoes 

= \(\frac{21}{51}\)

= \(\frac{7}{17}\).


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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts