Topic Details (Notes format)

How to Identify Independent vs. Dependent Events

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.

Practice Questions

If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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If 2x - 3 = 7, what is the value of x?

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What is the remainder when 5^100 is divided by 3?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the value of x if 3x + 7 = 16?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If x - y = 5 and x + y = 15, what is the value of x?

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