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NDA2013MathematicsProbabilityActual

A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is

Options

  1. A1 / 2
  2. B1 / 32
  3. C31 / 32
  4. D1 / 16

Correct answer

D. 1 / 16

Step-by-step solution

aligned P ( HHHHT or TTTTH ) & = P ( HHHHT )+ P ( TTTTH ) & = ( 1 2 )^5 ( 1 2 )^2= 1 16 aligned

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