A box contains 70 cards numbered from 1-70. If one card is drawn at random from the box find the probability that it bears :
1. A perfect square number
2.A number divisible by 2 and 3

(CBSE 2012 Q25 30/2 )

  1. 7/70 = 1/10
  2. 46/70 = 23/35

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  • -3

1) 8/70 = 4/35

2) 11/70

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  • 5

1) 8/70 = 4/35

2) 11/70

  • 6

The no.s that are perfect squares = 1, 4 ,9, 16, 25, 36, 49, 64 [8 numbers]

=> Probability = 8/70

The no.s that are divisible by bith 2 and 3 [multiples of 6] = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66  [11 numbers]

=>Probability = 11/70

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  • 7
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