Practicing Success
Statement-1: A natural number x is chosen at random from the first 100 natural numbers. The probability that $\frac{(x-10)(x-50)}{x-30}< 0$ is 0.28 Statement -2: For any event $A, 0 ≤ P(A)≤1$ |
Statement 1 is True, Statement 2 is true; Statement 2 is a correct explanation for Statement 1. Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1. Statement 1 is True, Statement 2 is False. Statement 1 is False, Statement 2 is True. |
Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1. |
Clearly, statement-2 is true Now, $\frac{(x-10)(x-50)}{x-30}< 0$ $⇔ 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 ∴ Probability of given event $=\frac{28}{100}=0.28$ |