Theoretical Probability Worksheets

What is Theoretical Probability? We all face situations where we have to guess whether an event is going to take place or not. Depending on the situation you face, we decide on the chances of occurrence of a particular event. In mathematics, the chances of occurrence of an event is known as the probability. Essentially, probability quantifies the chances of non-occurrences and occurrence of an event. Theoretical probability is the fundamental idea of probability. When we apply theoretical probability to predict the chances of an event taking place, we do not need to conduct an experiment. In theoretical probability, we only need to know the situation and have a basic idea 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 4 on a fair die. We do not need to 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 4 on a fair die is 1/6.