To get the probability of an event, we use the following formula:
[tex]P(E)=\frac{total\text{ number of favourable outcomes}}{\text{total possible outcomes}}[/tex]where E is the event.
In this case, our event is the random selection of baseball fan. In total, there 14 baseball fans you can choose from therefore, the total possible outcomes would be 14. This will be our denominator.
Our favourable outcome would be a baseball fan of Pittsburgh Pirates. In this scenario, we have 7 out of 14 that are fans of the Pittsburgh Pirates. Therefore, 7 will be our numerator or the total number of favourable outcomes.
Therefore, the probability that the favourite team of a randomly selected baseball fan is the Pittsburgh Pirates is 7 over 14 or in simplified form, 1 over 2 or 1/2.
