Compound Probability of Independent Events

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 \(\frac{1}{8}\).