Topic Details (Notes format)

How to Calculate Probability of Independent Events

Subject: Mathematics

Book: Maths Mastery

Independent events do not influence each other’s outcomes—like flipping a coin and rolling a die simultaneously. For two independent events A and B, the probability that both occur is P(A) × P(B). If P(A) = 1/2 (coin landing heads) and P(B) = 1/6 (die showing 3), then the combined probability is (1/2) × (1/6) = 1/12. Mastering independent event calculations is essential for interpreting multi-step experiments, analyzing random processes, or modeling real-world phenomena where outcomes remain unaffected by previous events.

Practice Questions

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

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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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What is the HCF of 48 and 180?

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What is the square root of 144?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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What is the cube of 4?

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

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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 a:b = 7:9 and b:c = 5:6, what is a:c?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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