A, B and C are contesting the election for the post of secretary of a club which does not…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

A, B and C are contesting the election for the post of secretary of a club which does not allow ladies to become members. The probabilities of A, B and C winning the election are \(\frac{1}{3}, \frac{2}{9} \text { and } \frac{4}{9}\) respectively. The probabilities of introducing the clause of admitting lady members to the club by A, B and C are 0.6, 0.7 and 0.5 respectively. The probability that ladies will be taken as members in the club after the election is
  1. \(\frac{26}{45}\)
  2. \(\frac{5}{9}\)
  3. \(\frac{19}{45}\)
  4. none of these

Answer

(A) 26 45

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