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Three athletes A, B and C participate in a race. Both A and B have the same probability of winning the race and each is twice as likely to win as C. The probability that B or C wins the race is:
  • a)
    2/3
  • b)
    3/5
  • c)
    3/4
  • d)
    13/25
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three athletes A, B and Cparticipate in a race. Both A and Bhave the s...
For three athletes participating in the race,
Probability of winning of A = Probability of winning of B = 2 x Probability of winning of C
We have to find the probability that B or C wins the race.
Let P(A), P(B) and P(C) be probabilities of winning the race by A, B and C  respectively.
Since, events of winning the race by A, B and C are mutually exclusive 
Therefore, the probability of winning the race by B or C
[Using addition theorem of probability]
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Three athletes A, B and Cparticipate in a race. Both A and Bhave the same probability of winning the race and each is twice as likely to win as C. Theprobability that B or Cwins the race is:a)2/3b)3/5c)3/4d)13/25Correct answer is option 'B'. Can you explain this answer?
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