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 sum of all odd numbers from 1 to 99?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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

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What is the sum of the interior angles of a hexagon?

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

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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What is the square root of 144?

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