Compound Probability of Independent Events
The probabilities of simple events can be combined, or compounded, to find the probability of two or more events happening. When outcomes of these events don't depend on each other, the events are considered independent. This lecture series presents examples of calculating compound probabilities of independent events using diagrams. Watch the videos and complete the interactive exercises.
Practice
Probabilities of compound events - Answers
1. The probability that Elizabeth will use a cab once is \(4\) out of \(9\), or \(\frac{4}{9}\).
2. The probability of rolling a \(9\) or higher is \(\frac{10}{36}\). We can simplify this fraction to \(\frac{5}{18}\).
3. The probability of randomly picking an orange hat is \(1\) out of \(12\), or \(\frac{1}{12}\).
4. The probability of getting heads on the first two flips and tails on the last flip is \(\frac{1}{8}\).