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

What is the greatest common divisor (GCD) of 36 and 48?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If x^2 - 6x + 9 = 0, what is the value of x?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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What is the HCF of 48 and 180?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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If x^2 - 5x + 6 = 0, what are the roots?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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