Online Theoretical Probability Formula Tutors

Online Theoretical Probability Formula Tutors Probability is the study of the chances of an event occurring or not occurring based on the total number of outcomes possible in a given situation. There are two types of probabilities known as the Theoretical probability and the Empirical probability. Theoretical probability of a certain event is the number of ways in which the event can occur when compared to the total number of outcomes for that event. Theoretical probability arises from a sample space consisting of outcomes which are equally likely to occur. Example 1: Find the probability of getting a 2 on a rolling fair die. When a fair die is rolled, there are 6 total number of outcomes possible. They are: {1, 2, 3, 4, 5, 6}. Hence the sample space for rolling a fair die is 6 equally likely outcomes. Theoretical probability formula, P(E) = (number of outcomes of the event)/ (Total number of possible outcomes) Getting a 2 on the fair die has a chance of 1 out of 6 possible outcomes Therefore, P(E) = 1/6 Example 2: Find the probability of a rolling a fair die and getting an even number. When a fair die is rolled, there are 6 total number of outcomes possible. They are: {1, 2, 3, 4, 5, 6}. Hence the sample space for rolling a fair die is 6 equally likely outcomes. Theoretical probability formula, P(E) = (number of outcomes of the event)/ (Total number of possible outcomes) Possible outcomes of getting an even number = {2, 4, 6} = 3 outcomes out of 6 total outcomes. Therefore, P(E) = 3/6 = 1/2