Question:

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 :

Updated On: Dec 12, 2024
  • 544\frac{5}{44}
  • 19\frac{1}{9}
  • 111\frac{1}{11}
  • 745\frac{7}{45}
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The Correct Option is B

Solution and Explanation

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):
506+1=4550 - 6 + 1 = 45
Probability:
P=545=19P = \frac{5}{45} = \frac{1}{9}

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