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The odds in favour of an event are 5 : 3. What is the probability that the event does NOT happen?

Competition practiceData & Probability
  • A5/8
  • B3/5
  • C5/3
  • D3/8

Step-by-Step Solution

Odds in favour of 5 : 3 mean 5 favourable outcomes against 3 unfavourable ones, so there are 5 + 3 = 8 outcomes in all. Hence P(event happens) = 5/8 and P(event does not happen) = 3/8. Odds compare the two parts with each other, so 5/3 is not a probability at all.
Answer: D) 3/8

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