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Statement-1: A natural x is chosen at random from the first 100 natural numbers. The probability that `((x-10)(x-50))/(x-30) lt 0` is 0.28 Statement-2

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Statement-1: A natural x is chosen at random from the first 100 natural numbers. The probability that (x-10)(x-50) x-30 <0 is 0.28 Statement-2 : For any event A,0≤P(A)≤1. 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 - B Clearly, statement -2 is true. Now, x − 10 x − 50 x − 30 < 0 x ⇔ 0 < x < 10 or 30 < x < 50 ⇔ ⇔ x = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 or x = 31 , 32 , … . , 49 ⇔ ⇔ x takes 28 values ⇔

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