Compound events: find the number of outcomes

key notes:

The branches of a tree diagram represent all possible outcomes.

Learn with an example

📢 You spin the spinner and flip a coin. How many outcomes are possible?

Make a tree diagram, then count the branches.

The first event has 4 outcomes: J, K, L and M.

The second event has 2 outcomes: heads (H) and tails (T).

Make a tree diagram:

Count the number of branches. There are 8 branches, so there are 8 possible outcomes.

📢 You pick a marble and flip a coin. How many outcomes are possible?

Make a tree diagram, then count the branches.

The first event has 4 outcomes: purple (Pu), orange (O), green (G) and blue (Bl).

The second event has 2 outcomes: heads (H) and tails (T).

Make a tree diagram:

Count the number of branches. There are 8 branches, so there are 8 possible outcomes.

📢 You pick a marble and pick a card. How many outcomes are possible?

Make a tree diagram, then count the branches.

The first event has 4 outcomes: blue (Bl), orange (O), green (G) and purple (Pu).

The second event has 5 outcomes: 1, 2, 3, 4 and 5.

Make a tree diagram:

Count the number of branches. There are 20 branches, so there are 20 possible outcomes.

let’s practice!