Question

Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the taken out card is (i) a prime number less than 10 (ii) a number which is a perfect square.

Answer 1

Correct Answer - `(i) 1/23 (ii) 5/46`
Total number of cards = 50 - 4 = 46.
(i) Out of the given numbers, prime numbers less than 10 are 5 and 7.
`:. ` number of prime numbers less than 10 = 2.
`:. ` P(getting a prime number less than 10) ` = 2/46 = 1/23`.
(ii) From given numbers, the perfect square numbers are 9,16,25,36,49.
Their number is 5.
` :. ` p(getting a perfect square number) = ` 5/46`.