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AP EAMCET202125 Aug 2021Evening ShiftMathematicsProbabilityActual

Three students A, B and C are running a race. A and B have the same probability of winning and each is twice likely to win as C. Then, the probability that B or C wins is equal to (assuming there are no ties)

Options

  1. A2 5
  2. B3 5
  3. C3 7
  4. D2 7

Correct answer

B. 3 5

Step-by-step solution

Let winning probability of C be P(C) = p aligned & P(A)=P(B)=2 p & P(A)+P(B)+P(C)=1 & 2 p+2 p+p=1 & 5 p=1 & p=1 / 5 & aligned Probability that B or C win =P(B)+P(C)=2 p+p[ B and C are mutually exclusive events ] =3 p= 3 5

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