Subject: Mathematics
Book: Maths Mastery
Independent events do not affect each other’s outcome (e.g., rolling a die and flipping a coin), while dependent events do (e.g., drawing cards without replacement). Mathematically, events A and B are independent if P(A ∩ B) = P(A) × P(B). If they do not satisfy that, they are dependent. Understanding this difference is crucial in probability trees, combinatorial scenarios, or chain-of-event analyses. Correct classification ensures you multiply probabilities appropriately, whether you’re designing experiments or calculating risk in finance, health, or engineering contexts.
If a:b = 7:9 and b:c = 5:6, what is a:c?
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