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

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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A sphere has a radius of 7 cm. What is its volume?

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

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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

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If the radius of a circle is doubled, what happens to its area?

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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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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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A train 150 m long passes a pole in 15 seconds. What is its speed?

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What is the cube root of 729?

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