Two out of ten tickets on sale for a raffle draw are winning tickets. If...

FURTHER MATHEMATICS
WAEC 2013

Two out of ten tickets on sale for a raffle draw are winning tickets. If a guest bought two tickets, what is the probability that both tickets are winning tickets?

  • A. \(\frac{1}{80}\)
  • B. \(\frac{1}{45}\)
  • C. \(\frac{1}{20}\)
  • D. \(\frac{1}{10}\)

Correct Answer: B. \(\frac{1}{45}\)

Explanation

P(winning) = \(\frac{2}{10}\)

P(both tickets winning) = \(\frac{2}{10} \times \frac{1}{9} = \frac{1}{45}\)



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