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AP EAMCET202422 May 2024Evening ShiftMathematicsProbabilityActual

A and B throw a pair of dice alternately and they note the sum of the numbers appearing on the dice. A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6 . If A begins, the probability of his winning is

Options

  1. A15 61
  2. B21 61
  3. C30 61
  4. D36 61

Correct answer

C. 30 61

Step-by-step solution

For sum 6 possible combinations are (1,5),(5,1) , aligned & (2,4),(4,2),(3,3) & P( sum 6)= 5 36 aligned For sum 7 possible combinations are (1,6),(6,1),(2,5),(5,2),(3,4),(4,3) aligned & P( sum 7)= 6 36 = 1 6 & P(A wins )= 5 36 + 31 36 5 6 5 36 + = 5 36 1- 31 36 5 6 = 30 61 aligned

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