Study Guides for Discrete Mathematics
Section 4.4 - Probability
The probability of an event, E, is the likelihood that E will occur. "Likelihood" is normally represented as a percentage or a fraction between 0 and 1. We compute the probability of an event by dividing the number of ways the event under consideration may occur by the total possible number of events.
Example: What is the likelihood (probability) that a day of the week selected at random will be a weekday.
Let the event of selecting a weekday be denoted by W.
The days under consideration are the 5 weekdays, Mon., Tues., Wed., Thurs. and Fri. The total number of possible selections is the number of days in the week which equals 7. Therefore the probability of selecting a weekday (denoted P(W)) equals 5/7.