Compound events: find the number of outcomes
Key Notes:
The branches of a tree diagram represent all possible outcomes.
Learn with an example
you roll a die and pick a marble.
How many outcomes are possible?
Make a tree diagram, then count the branches.
The first event has 6 outcomes: 1, 2, 3, 4, 5 and 6.
The second event has 5 outcomes: blue (Bl), green (G), purple (Pu), pink (Pi) and orange (O).
Make a tree diagram:
Count the number of branches. There are 30 branches, so there are 30 possible outcomes.
You spin the spinner, flip a coin and pick a marble.
How many outcomes are possible?
Make a tree diagram, then count the branches.
The first event has 2 outcomes: Q and R.
The second event has 2 outcomes: heads (H) and tails (T).
The third event has 4 outcomes: purple (Pu), blue (Bl), orange (O) and green (G).
Make a tree diagram:
Count the number of branches. There are 16 branches, so there are 16 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 5 outcomes: pink (Pi), green (G), orange (O), blue (Bl) and purple (Pu).
The second event has 2 outcomes: heads (H) and tails (T).
Make a tree diagram:
Count the number of branches. There are 10 branches, so there are 10 possible outcomes.
Let’s practice!
