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CA Foundation · Quantitative Aptitude · Probability

The odds in favour of an event happening are 3 to 5. What is the probability that the event happens?

The probability is 3/8. Odds in favour of 3 to 5 mean three favourable outcomes for every five unfavourable ones, giving eight outcomes in total, so the chance of the event is favourable divided by total, which is 3/8.

  1. A3/5
  2. B5/8
  3. C3/8Correct
  4. D2/5

Explanation

Odds in favour of 3:5 mean 3 favourable cases against 5 unfavourable cases, so the total is 8 cases. Probability = 3/8. Choosing 3/5 is wrong because it treats the odds ratio as the probability, ignoring the total of 8.

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