In addition to helping determine the number of outcomes in a sample space, the tree diagram can be used to determine the probability of individual outcomes within the sample space. The probability of any outcome in the sample space is the product (multiply) of all possibilities along the path that represents that outcome on the tree diagram.
Show the
sample space for tossing one penny and rolling one die.
[The
Counting Principle could also verify that this answer yields the correct number
of outcomes:
A family has three children. How many outcomes are in the sample space that indicates the sex of the children? Assume that the probability of male (M) and the probability of female (F) are each 1/2.
[Again, the
Counting Principle could also verify that this result yields the correct number
of outcomes:
