When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that Whitney will win Prize 2 we will divide the number of favorable outcomes by the number of possible outcomes.
P=Favorable Outcomes/Possible OutcomesFirst, we will find the number of possible and favorable outcomes. To do so, we will use the tree diagram from the exercise. Let's take a look.
We highlighted the one favorable outcome, Whitney winning Prize 2. Finally, we can find probability. We can see that there are 9 total outcomes in the sample space and only 1 of them is favorable. Let's substitute these numbers into the formula.
P(Whitney winning Prize2)=1/9
