Is the conditional probability formula $P(B\mid A) =\frac{ P(B\cap A) }{ P(A)}$ always true? What if the sample space is non-uniform?
2026-03-26 06:02:56.1774504976
Conditional probability - formula validity over different sample spaces
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Yes, this is always true because the conditional probability of B given A is defined this way. Although, it exists only if $P(A)\neq0$(that is quite obvious because if A can't occur, then it doesn't make sense to find the probability of an event given that A has already occurred).