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1. Cards marked with the numbers 2 to 101 are placed in a box. One card is drawn at random. Find the probability that the card drawn bears a number which is a perfect cube. |
Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>option is</p><p>A</p><p>1: </p><p>2</p><p>1</p><p> </p><p> ,2: </p><p>25</p><p>3</p><p> </p><p> ,3: </p><p>100</p><p>9</p><p> </p><p> ,4: </p><p>25</p><p>2</p><p> </p><p> </p><p>1)Number on cards are 2 to 101</p><p>Even number are 2,4,6,..,100=50 </p><p>Probability that it's an even number =50/100=1/2</p><p></p><p></p><p>2)Numbers less than <a href="https://interviewquestions.tuteehub.com/tag/14-272882" style="font-weight:bold;" target="_blank" title="Click to know more about 14">14</a> are 2,3,4,5,6,7,8,9,10,11,12,13=12</p><p>Probability=12/100=3/25</p><p></p><p></p><p>3) Perfect square are=4,9,16,25,36,49,64,81,100=9</p><p>Probability=9/100</p><p></p><p></p><p>4) <a href="https://interviewquestions.tuteehub.com/tag/prime-605748" style="font-weight:bold;" target="_blank" title="Click to know more about PRIME">PRIME</a> number less than 20 are 2,3,5,7,11,13,17,19=8</p><p>Probability=8/100=2/25</p></body></html> | |