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Two numbers are selected randomly from the set `S={1,2,3,4,5,6}` without replacement one by one. The probability that minimum of the two numbers is le

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Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is 1/15 b. 14/15 c. 1/5 d. 4/5 A. 1 15 B. 14 15 C. 1 5 D. 4 5 Select the correct answer from above options

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Correct Answer - D The minimum of two numbers is less than 4 means at least one of them is less than 4. Let Ai denote the event that the number selected in ith draw is less than 4, where, i=1,2. Then, Required probability =P(A1∪A2)=1-P( ¯ A1 ∩ ¯ A2 ) =1-P( ¯ A1 )P( ¯ A2 / ¯ A1 )=1- 3 6 × 2 5 = 4 5

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