A natural number is chosen at random from the first 100 natural numbers. The probability that x+100x>50 is

We have,x+100x>50or   x2+100>50xor   (x−25)2>525or   x−25<−525 or x−25>525or   x<25−525 or x>25+525As x is a positive integer and 525=22.91, we must have x ≤ 2 or x ≥ 48. Thus, the favorable number of cases is 2 + 53 = 55.Hence, the required probability is 55100=1120