Question
Chethan is called for 3 interviews based on his score in
a written exam. There are 8 candidates in the first interview, 10 in the second, and 5 in the third. If the selection of each candidate is equally likely, then find the probability that Chethan will be selected for at least one post. ÂSolution
1. Calculate the probability of NOT being selected in each interview:Â Â Â - First interview: 7/8 (since there are 7 other candidates out of 8)Â Â Â - Second interview: 9/10Â Â Â - Third interview: 4/5Â 2. Probability of not being selected in ANY interview:Â 7/8 * 9/10 * 4/5 = 252/400 = 0.63 3. Probability of being selected in AT LEAST ONE interview:Â Â Â 1 - {Probability of not being selected in any interview} = 1 - 0.63 = 0.37
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