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 the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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What is the square root of 121?

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If the sum of three consecutive integers is 96, what are the integers?

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What is the sum of all odd numbers from 1 to 99?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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

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If x^2 + 4x + 4 = 0, what is the value of x?

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

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