Practice Compound Events in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Compound events are probability events made up of two or more simple events combined using 'and' (both events occur) or 'or' (at least one occurs). For independent 'and' events, multiply probabilities; for 'or' events, add probabilities and subtract any overlap.

Simple event: rolling a 6. Compound event: rolling a 6 AND then flipping heads. For 'and,' multiply probabilities. For 'or,' add them (but subtract overlap if any).

Example 1

easy
A bag contains 3 red and 5 blue marbles. You draw one marble, replace it, then draw another. What is the probability of getting red then blue?

Example 2

medium
A bag contains 4 red and 6 blue marbles. You draw two marbles without replacement. What is the probability that both are red?

Example 3

medium
A spinner has sections: Red (50%), Blue (30%), Green (20%). You spin twice. What is the probability of getting the same colour both times?

Example 4

hard
A deck has 52 cards. You draw 2 cards without replacement. What is the probability of drawing at least one ace?
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