Three defective bulbs got mixed up with seven good ones. If two bulbs are selected...

FURTHER MATHEMATICSWAEC 2009

Three defective bulbs got mixed up with seven good ones. If two bulbs are selected at random, what is the probability that both are good?

  • A. \(\frac{3}{7}\)
  • B. \(\frac{21}{50}\)
  • C. \(\frac{7}{15}\)
  • D. \(\frac{49}{100}\)

Correct Answer: C. \(\frac{7}{15}\)

Explanation

\(P(\text{both bulbs are good}) = \frac{7}{10} \times \frac{6}{9}\)

= \(\frac{7}{15}\)

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