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BITSAT2013MathematicsProbabilityActual

The probability of India winning a test match against West Indies is 1 / 2 . Assuming independence from match to match, the probability that in a 5 match series India's second win occurs at the third test, is -

Options

  1. A2 / 3
  2. B1 / 2
  3. C1 / 4
  4. D1 / 8

Correct answer

C. 1 / 4

Step-by-step solution

The sample space is [LWW, WLW] P( LWW )+ P ( WLW ) = Probability that in 5 match series, it is India's second win array l =P( ~L ) P ( W ) P ( W )+ P ( W ) P ( L ) P ( W ) = 1 8 + 1 8 = 2 8 = 1 4 array

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