Theoretical Probability Worksheets

What is Theoretical Probability? We all encounter situations where we either have to choose or predict an occurrence. Based on the particular situation, we decide whether that occurrence is going to happen or not. The chance of an event to take place is the central idea in probability. Essentially, probability quantifies the chances of non-occurrences and occurrence of an event. Theoretical probability is the core idea behind probability. When using theoretical probability to predict the occurrence of an event, we do not need to conduct an experiment. In theoretical probability, we should have an idea about the situation and an understanding of the occurrence of an event. Theocratical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes. Probability of Even P(E) = Number of favorable outcomes/ Number of Possible outcomes. For instance, if we have to find out the probability of rolling a 5 on a fair die. We do not need to actually roll a die to know the probability. We already know that there are 6 possible outcomes when we roll a die. There are 1, 2, 3, 4, 5, and 6. Hence, using the formula for the theoretical probability: P(E) = Number of favorable outcomes/ Number of Possible outcomes. P(E) = 1/6. Therefore, the probability of rolling a 5 on a fair die is 1/6.