MHT CET 2022 Mathematics question
Three critics review a book. For the three critics, the odds in favour of the book are , and respectively. The probability that the majority is in favour of the book is
Answer: (C)
Solution
Odds in favour mean a probability in favour of ; similarly and for the other critics, with probabilities against , , . A majority needs at least two critics in favour. Exactly two: (1, 2 for; 3 against) $
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