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Cards marked with numbers 13, 14, 15,……,60 are placed in a box and mixed thoroughly. One card is drawn at random form the box. Find the probability that the number on the card is a number which is a perfect square. |
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Answer» Since, Cards marked with numbers 13, 14, 15, ….60. Therefore, Total number of cards = 60-12 = 48 Perfect squares lie in the sequence 13, 14…...,60 are 16, 25, 36, 49. Total number of perfect squares lies in 13 – 60 range = 4. Hence, Probability of getting perfect squares = \(\frac{Total\,perfect\,squares\,in\,the\,range\,13-60}{Total\,number\,of\,cards}\) = \(\frac{4}{48}\) = \(\frac{1}{12}\). |
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