The branches of the tree diagram show each possible outcome in the sample space. To record the sample space list the results from each branch as shown below.


sample space = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}



Another useful tool when solving probability problems is a probability tree diagram . This type of diagram is constructed similar to a regular tree diagram, but rather than showing the outcome on each branch, the probability tree diagram shows the probability of the outcome on each branch .

Consider the coin and die example again. The probability tree diagram for this experiment is shown below.