Subject: Mathematics
Book: Maths Mastery
Conditional probability P(A|B) measures the likelihood of A given B has occurred, computed as P(A ∩ B) ÷ P(B). For example, if the probability of it raining and your friend carrying an umbrella is 0.30, and the probability of your friend carrying an umbrella is 0.50, then P(Rain|Umbrella) = 0.30 ÷ 0.50 = 0.60. Conditional probability arises in medical testing (positive test given the condition), machine learning (predictive models), and daily logic (likelihood of an outcome given partial info). Mastering it refines your reasoning and real-life decision-making based on evolving evidence.
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