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MHT CET202015 Oct 2020Evening ShiftMathematicsProbabilityActual

If a fair coin is tossed 8 times, then the probability that it shows heads more than tails is

Options

  1. A91 256
  2. B97 256
  3. C93 256
  4. D95 256

Correct answer

C. 93 256

Step-by-step solution

Given n=8 . Here p= 1 2 , q= 1 2 aligned P(x>4) &=P(x=5)+P(x=6)+P(x=7)+P(x=8) &= 8 5 ( 1 2 )⁵ ( 1 2 )³+ 8 6 ( 1 2 )⁶ ( 1 2 )²+ 8 7 ( 1 2 )⁷ ( 1 2 )¹+ 8 8 ( 1 2 )⁸ ( 1 2 )⁰ &= 56 256 + 28 256 + 8 256 + 1 256 = 93 256 aligned

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