JEE Advanced Mathematics question
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 , and 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
Answer: (A)
Solution
Let be the events that A, B, C wins. These are mutually exclusive and exhaustive (). Let be the event that ladies
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