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AP EAMCET202317 May 2023Evening ShiftMathematicsProbabilityActual

A, B, C are three horses participating in a race. The Probability of horse A to win the race is twice that of horse B and probability of horse B to win is twice that of horse C . Then the probabilities of horses A, B and C to win the race are respectively

Options

  1. A4 7 , 2 7 , 1 7
  2. B1 6 , 2 6 , 5 6
  3. C1 4 , 1 2 , 1 7
  4. D4 7 , 3 7 , 1 7

Correct answer

A. 4 7 , 2 7 , 1 7

Step-by-step solution

Let the probability of A , B , C winning are a, b, c respectively. Then, a+b+c=1 ...(i) Given that, a=2 b & b=2 c c= b 2 From eq ^ n ( i ) 2 b+b+ b 2 =1 b= 2 7 a=2 b= 4 7 and c= b 2 = 1 7 So, the probability of horses A, B & C to win are 4 7 , 2 7 , 1 7 respectively.

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