Practice Compound Events in Statistics
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Events made up of two or more simple events, calculated using multiplication (for 'and') or addition (for 'or').
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
easyA 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
mediumA bag contains 4 red and 6 blue marbles. You draw two marbles without replacement. What is the probability that both are red?
Example 3
mediumA 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
hardA deck has 52 cards. You draw 2 cards without replacement. What is the probability of drawing at least one ace?