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KVPY2014MathematicsProbability

Two persons A and B throw a (fair) die (six-faced cube with faces numbered from 1 to 6 ) alternately, starting with A . The first person to get an outcome different from the previous one by the opponent wins. The probability that B wins is :

Options

  1. A5 / 6
  2. B6 / 7
  3. C7 / 8
  4. D8 / 9

Correct answer

B. 6 / 7

Step-by-step solution

P(B)=1 5 6 +1 1 6 1 6 5 6 + = 6 7

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