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Statement-1: 20 persons are sitting in a row. Two of these persons are selected at random. The probability that the two selected persons are not toget

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Statement-1: 20 persons are sitting in a row. Two of these persons are selected at random. The probability that the two selected persons are not together is 0.9. Statement-2 :If ˉ A denotes the negation of an event A, then P( ˉ A )=1-P(A). A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1. C. Statement-1 is True, Statement-2 is False. D. Statement-1 is False, Statement-2 is True. Select the correct answer from above options

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Correct Answer - A Clearly, statement -2 is true. The number of ways of selecting 2 persons out of 20 persons sitting in a row is ^ ( 20 ) C 2 ( = 190 ) ^ and the number in which two selected persons sit together is 19. Thus, if A denotes the event " two selectd persons sit together " then , P (A) = 19 190 = 10 19 Required probability = = P ( ¯¯¯ A ) P 1- P (A) [ Using satement -2] 1 − 1 10 = 9 10 = 0.9 1

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