Quiz: Tree Diagrams in Probability

🧠 Quiz: Tree Diagrams in Probability

1. A coin is tossed twice. Using a tree diagram, what is the sample space?

{HH, HT, TH, TT} {H, T} {1, 2, 3, 4, 5, 6} {Even, Odd}

2. A die is rolled once. Using a tree diagram, what is the probability of getting an even number?

\(\frac{1}{6}\) \(\frac{1}{3}\) \(\frac{1}{2}\) \(\frac{2}{3}\)

3. A bag contains 2 red and 1 blue ball. If one ball is drawn and then another, what is the probability of drawing two reds?

\(\frac{1}{3}\) \(\frac{2}{3}\) \(\frac{1}{2}\) \(\frac{2}{9}\)

4. A coin is tossed and a die is rolled. Using a tree diagram, what is the probability of getting Head and a 6?

\(\frac{1}{12}\) \(\frac{1}{6}\) \(\frac{1}{2}\) \(\frac{1}{3}\)

5. A bag contains 3 red and 2 blue balls. If two balls are drawn without replacement, what is the probability of getting one red and one blue?

\(\frac{3}{10}\) \(\frac{6}{10}\) \(\frac{1}{2}\) \(\frac{2}{5}\)