Think of a two-stage experiment in which the number of possible outcomes for the second stage events is not the same.
See solution.
Practice makes perfect
We are asked to describe a two-stage experiment in which the tree diagram will be asymmetrical. To do this we will need to make sure that the number of possible outcomes for the second stage events will not be the same. Let flipping a coin will be the first stage for this experiment.
Next, let's say that if we flip heads we will flip a coin again in the next step. However, if we flip tails we will roll a die. This means we need to draw 2 second stage branches from the upper branch and 6 second stage branches from the lower branch.
We can see that our tree diagram is notsymmetrical because in the second stage the number of possible outcomes is not the same for each result of the first stage. Notice that this is only an example solution, as we can think of infinitely many examples of asymmetrical tree diagrams.
