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AP EAMCET202421 May 2024Evening ShiftMathematicsProbabilityActual

Two persons A and B throw a pair of dice alternately until one of them gets the sum of the numbers appeared on the dice as 4 and the person who gets this result first is declared as the winner. If A starts the game: then the probability that B wins the game is

Options

  1. A11 23
  2. B1 2
  3. C5 11
  4. D8 17

Correct answer

A. 11 23

Step-by-step solution

Outcomes for sum 4 are (1,3),(3,1),(2,2) Probability of sum 4= 3 36 = 1 12 aligned & P(B wins )= ( 11 12 1 12 )+ ( 11 12 11 12 11 12 1 12 )+ & = 11 12 1 12 1- ( 11 12 )^2 = 11 144 144-121 144 = 11 23 aligned

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