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MHT CET202016 Oct 2020Morning ShiftMathematicsProbabilityActual

The probability that bomb will miss the target is 0 2 . Then the probability that out of 10 bombs dropped exactly 2 will hit the target is

Options

  1. A288 5¹⁰
  2. B144 5⁹
  3. C144 5¹⁰
  4. D288 5⁹

Correct answer

B. 144 5⁹

Step-by-step solution

( C ) We have probability of missing the target 0.2 Let p =1-0.2=0.8, q =0.2, n =10 and r =2 Hence required probability = ¹⁰ C ₂(0.8)²(0.2)⁸= 10 ! 2 ! 8 ! ( 8 10 )² ( 2 10 )⁸= 45 64 2⁸ 10¹⁰ = 9 5 2¹⁴ 2¹⁰ 5¹⁰ = 9 2⁴ 5⁹ = 144 5⁹

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