alleryThe conditional probability P(E|F) is defined by
AP(E) × P(F)
BP(E ∩ F) / P(F), if P(F) > 0
CP(E) + P(F) − P(E ∩ F)
DP(F) / P(E ∩ F)
Answer & Solution
Correct answer: B. P(E ∩ F) / P(F), if P(F) > 0
1. Conditional probability P(E|F) restricts the sample space to F.
2. Formally P(E|F) = P(E ∩ F) / P(F), valid whenever P(F) > 0.
3. It counts the elementary outcomes in E ∩ F relative to those in F.
4. If P(F) = 0 the conditional probability is undefined.
_Source: syllabus Mathematics, Ch 13 "Probability", §13.2_
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