Question

One card is selected at random from 50 cards numbered 1 to 50. Find the probability that the number on the card is (i) divisible by 5, (ii) prime, (iii) ends in the digit 2.

Answer 1

The numbers between 1 and 50 (both inclusive) divisible by 5 are 5,10,15,...,45, 50 (10 numbers)

i) The probability that the number on the card is divisible by 5 is

The numbers between 1 and 50 (both inclusive) that are prime are 2,3,5,7,11,13,17,19,23,29,31,37,39,41,43,47 (16 numbers).

ii) The probability that the number on the card is prime is

The numbers between 1 and 50 (both inclusive) that end in digit 2 are 2,12,22,32,42 (5 numbers).

iii) The probability that the number on the card ends in digit 2 is