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

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

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What is the value of log₃(27)?

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

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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

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

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What is the square root of 144?

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

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