✏️ Practice Exercises

Probability

5 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

A die is rolled once. What is the probability of getting an even number?

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Favourable outcomes / total outcomes.

Your Working

02

easy

Two fair coins are tossed together. What is the probability of getting both heads?

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Independent events: multiply individual probabilities.

Your Working

03

medium

A card is drawn at random from a standard deck of 52. What is the probability that it is a red king?

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Count favourable cards / 52.

Your Working

04

medium

A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?

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P(R1) × P(R2 | R1) — denominator drops by 1.

Your Working

05

hard

In a class, 60% students play cricket, 40% play football, and 20% play both. What is the probability that a randomly chosen student plays at least one of the two sports?

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P(A ∪ B) = P(A) + P(B) − P(A ∩ B).

Your Working

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