| Cards are drawn at random from a pack of 250 cards numbered 1 to 250. Find the probability of drawing a number which is a perfect cube? |
A) \[\frac{12}{125}\]
B) \[\frac{9}{125}\]
C) \[\frac{3}{125}\]
D) \[\frac{1}{125}\]
E) None of these
Correct Answer: C
Solution :
| Number of ways of selecting 1 card from 250 cards |
| \[={}^{250}{{C}_{1}}=250\] |
| The favourable case are {1, 8, 27, 64, 125, 216} =6 |
| \[\therefore \] Required probability \[=\frac{6}{250}=\frac{3}{125}\] |
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