Question

cards with number five to one hundred twenty five are placed in a box.A card is selected random from the box.Find the probability that the card which selected has a number which is perfect square​

Answer 1

Solution:

The event space containing the numbers 5 to 125 is defined by

S = {5, 6, 7, 8, ..., 124, 125}

Then, n(S) = 121

Now, the favourable outcomes in which perfect squares are included is defined by

A = {9, 16, 25, 36, 49, 64, 81, 100, 121}

Then, n(A) = 9

Hence, the probability of getting a perfect square from a random selection is

P(A) = n(A) / n(S)

= 9/121