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Question

Mathematics Question on Probability

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, is :

A

544\frac{5}{44}

B

19\frac{1}{9}

C

111\frac{1}{11}

D

745\frac{7}{45}

Answer

19\frac{1}{9}

Explanation

Solution

Perfect squares between 6 and 50 are:
9,16,25,36,499, 16, 25, 36, 49
Count = 5. Total numbers between 6 and 50 (inclusive):
50−6+1=4550 - 6 + 1 = 45
Probability:
P=545=19P = \frac{5}{45} = \frac{1}{9}