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

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A number is increased by 20% and then decreased by 20%. What is the net change?

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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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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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What is the area of a circle with a diameter of 14 cm?

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A cube has a side length of 4 cm. What is its volume?

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If the probability of an event is 1/4, what is the probability of its complement?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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