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All India-2016 (South)
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Q26 of 26 Page 1

Three numbers are selected at random (without replacement) from first six positive integers. If X denotes the smallest of the three numbers obtained, find the probability distribution of X. Also find the mean and variance of the distribution

Given: three numbers are to be selected from the first six positive integers


Total number of ways is 6C3 = 20



Formula: and


Using the formula to get the mean and variance




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