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A natural number is selected at random from the set x = { x : 1 ≤ x ≤ 100 }. The probability that the number satisfies the inequality x2 - 13x ≤ 30 is ?
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- 5/9
- 9/50
- 3/20
- 7/9
Correct Option: C
x2 - 13 x - 30 ≤ 0
⇒ (x + 2) (x - 15) ≤ 0
⇒ -2 ≤ x ≤ 15
But x is a natural number.
∴ 1 ≤ x ≤ 15
∴ Reqd. Probability P = 15/100 = 3/20
