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BITSAT2014MathematicsProbabilityActual

A coin is tossed 7 times. Each time a man calls head. Find the probability that he wins the toss on more occasions.

Options

  1. A2 3
  2. B1 2
  3. C3 4
  4. D1 3

Correct answer

B. 1 2

Step-by-step solution

The man has to win at least 4 times. array r Reqd. probability = array r 7 C ₄ ( 1 2 )⁴ ( 1 2 )³+ ⁷ C ₅ ( 1 2 )⁵ ( 1 2 )² + ⁷ C ₆ ( 1 2 )⁶ 1 2 + ⁷ C ₇ ( 1 2 )⁷ = ( ⁷ C ₄+ ⁷ C ₅+ ⁷ C ₆+ ⁷ C ₇ ) 1 2⁷ = 64 2⁷ = 1 2 array array

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