Question

A box contains cards numbered 6 to 50. A card is drawn at random from the box. Calculate the probability that the drawn card has a number which is a perfect square.​

Answer 1

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Total number of cards = 50 – 6 + 1 = 45

Perfect square numbers are 9, 16, 25, 36, 49, i.e.,

5 numbers

∴ P(a prefect square) = 5/45=1/9

Answer 2

A perfect square is a number that can be expressed in form of a product of two integers that are equal.

Examples of perfect squares are :

1, 4 , 9 etc.

Between 6 and 50 the perfect squares in between are :

The list is as follows:

9, 16, 25, 36, 49

The probability that the drawn card has a number that is a perfect square will be given by :

Probability = Number of events/Total possible outcomes

Total possible outcomes ( 6 - 50) = 45

Number of perfect squares = 5

We express this as :

P(that the numbers are perfect squares) = 5/45

= 1/9