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Manipal MET2016MathematicsProbability

Fifteen coupons are numbered 1, 2, ..., 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9 , is

Options

  1. A( 9 10 )^6
  2. B( 8 15 )^7
  3. C( 3 5 )^7
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Every time the selected coupon must be from 1 to 9. The probability of such a selection at any time is 9 15 = 3 5 and this can happen 7 times. i.e. ( 9 15 )^7 . Put of these ( 9 15 )^7, ( 8 15 )^7 cases do not contain the number 9. Thus, the required probability = ( 9 15 )^7- ( 8 15 )^7

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