Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

In a triangular series, probability of the Indian team winning match against Pakistan is 0.7 and that against Australia is 0.4.If the probability of Indian winning both matches is 0.3, what is the probability that India will win minimum one match so that it can enter final?

share|cite|improve this question
$P(A\cup B) = P(A)+P(B)-P(A\cap B)$. – Dilip Sarwate Jan 7 '13 at 14:46

The probability that India wins against Australia but not against Pakistan is 0.4-0.3=0.1. The probability that they win against Pakistan but not against Australia is 0.7-0.3=0.4. The probability that they win at least one game is the sum of the probabilities that they win only against Australia, only against Pakistan and against both, therefore it equals 0.4+0.1+0.3=0.8.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.