How do you create a tree diagram for combined probability events?

To create a tree diagram for combined probability events, list all possible outcomes and their probabilities step-by-step.

A tree diagram is a visual representation that helps you map out all possible outcomes of combined events and their probabilities. Start by drawing a branch for each possible outcome of the first event. For example, if you are flipping a coin, you would draw two branches: one for heads and one for tails.

Next, from each of these branches, draw additional branches for the possible outcomes of the second event. If the second event is rolling a die, you would draw six branches from each of the coin flip outcomes, one for each number on the die (1 through 6).

Label each branch with the outcome and its probability. For instance, the probability of flipping heads is 1/2, and the probability of rolling a 3 is 1/6. Multiply the probabilities along the branches to find the combined probability of each path. For example, the probability of flipping heads and then rolling a 3 is (1/2) * (1/6) = 1/12.

Continue this process for any additional events, ensuring each branch represents all possible outcomes and their probabilities. This method helps you systematically analyse complex probability scenarios by breaking them down into simpler, manageable parts.