MHT CET 2024 Mathematics question
For an entry to a certain course, a candidate is given twenty problems to solve. If the probability that the candidate can solve any problem is then the probability that he is unable to solve at most two problems is
Answer: (B)
Solution
This is a binomial experiment with . All four options carry the factor , which arises when the event is "at most two successes" with success probability and failure probability (equivalently, at most two "failures" when each failure has probability ). So
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