A Tree Diagram and Sample Space
A tree diagram is a graphic representation of the step by step competion of an
experiment showing all possible results of each step. It is generally drawn from a starting point on the left and then
branches to the right with each possilbe outcome shown as the end of the next branch or bridge.
A sample space is a list of all the results of the experiment.
The sample space may be found by following each path on the tree diagram
starting on the left and moving to the last event on the right.
At the left, the tree diagram and sample
space for the experiment "flip 3 coins" is shown.
The tree and results for the flip of the first coin, Heads or Tails, is shown
in blue. The tree and results for the second flip of a coin are shown
in red. Note that for each branch from the blue tree, either a Heads or a Tails is shown in red.
The tree and results for the third flip of a coin are shown in purple.
The sample space is shown in green and each path from left to right on the tree
results in a possilbe result of the experiment "flip 2 coins."
