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BITSAT2012MathematicsProbabilityActual

A boy is throwing stones at a target. The probability of hitting the target at any trial is 1 2 The probability of hitting the target 5 th time at the 10 th throw is:

Options

  1. A5 2¹⁰
  2. B63 2⁹
  3. C10 2¹⁰
  4. DNone

Correct answer

B. 63 2⁹

Step-by-step solution

The probability of hitting the target 5 th time at the 10 th throw = P ( the probability of hitting the target 4 times in the first 9 throws) P ( the probability of hitting the target at the 10 th throw )= [ ⁹ C ₄ ( 1 2 )⁴ ( 1 2 )⁵ ] ( 1 2 )= 9 ! 4 ! 5 ! ( 1 2 )¹⁰= 63 2⁹

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