JEE • Mathematics

Probability

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formula

Classical Probability, Odds and Complement

The source defines classical probability using equally likely and mutually exclusive outcomes.

P(A)=mm+n=n(A)n(S)P(A)=\frac{m}{m+n}=\frac{n(A)}{n(S)}
P(A‾)=nm+n=1−P(A)P(\overline{A})=\frac{n}{m+n}=1-P(A)

Notes

  • Odds in favour of AA are m:nm:n; odds against AA are n:mn:m.