Topic Details (Notes format)

How to Calculate Probability of Simple Events

Subject: Mathematics

Book: Maths Mastery

Probability quantifies how likely an event is to occur, calculated by favorable outcomes ÷ total possible outcomes. For instance, flipping a fair coin yields two possible outcomes: heads or tails. The probability of heads is 1/2. When rolling a six-sided die, the probability of rolling a 4 is 1/6. Basic probability helps you analyze games of chance, forecast risk in business, or interpret scientific experiments. Mastery of this fundamental approach sets the stage for more complex topics like compound events, conditional probability, and statistical inference.

Practice Questions

A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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What is the value of x if 3x + 7 = 16?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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What is the sum of the first 50 positive integers?

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

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

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A number is increased by 20% and then decreased by 10%. What is the net change?

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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 cube of 4?

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