# A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is (a) 1/45 (b) 2/15 (c) 4/45 (d) 1/9

Dear student,

Total number of outcomes = 45
Out of given numbers, perfect square numbers are 9, 16, 25, 36 and 49.

Number of favourable outcomes = 5
∴ P(getting a number which is a perfect square) =
=
Thus, the probability that the drawn card has a number which is a perfect square is $\frac{1}{9}$.
Hence, the correct option is (D).

Regards

• -1
Sol.
Total number of outcomes = 45
Out of given numbers, perfect square numbers are 9, 16, 25, 36 and 49.

Number of favourable outcomes = 5
∴ P(getting a number which is a perfect square) = No. of favourable outcomes/No.of all possible outcomes
=  5/45 = 1/9
Thus, the probability that the drawn card has a number which is a perfect square is 1/9.
Hence, the correct option is (D) 1/9.

• 1
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