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99 Percentile Qs Bank for JEE MainMathematicsProbability

Fifteen coupons are numbered 1, 2, 3 , … . . , 15 respectively. Seven coupons are selected at random one at a time with replacement. The probability, that the largest number appearing on selected coupons is at most 9 , is

Options

  1. A1 1 5 7
  2. B3 5 7
  3. C8 1 5 7
  4. D2 5 7

Correct answer

B. 3 5 7

Step-by-step solution

Total coupons = 15 1 ≤ selected coupon number ≤ 9 i.e., 1, 2 , 3, 4 , 5, 6 , 7, 8 , 9 ∴ Probability of one selected coupon to have number ≤ 9 = 9 1 5 = 3 5 Hence, the required probability = 3 5 × 3 5 × .... 7 times = 3 5 7 (Using multiplicative principle for independent events)

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