Theoretical Probability
The number of ways an event can occur. It is found by analyzing a situation.
Theoretical probability is a branch of mathematics that deals with the study of the likelihood of an event occurring based on the assumption of equally likely outcomes in an experiment. It relies on the analysis of the number of possible outcomes and the number of favorable outcomes to estimate the likelihood of an event occurring.
To calculate the theoretical probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. For example, if we toss a fair coin, the probability of getting a head is calculated as:
P(head) = number of favorable outcomes / total number of outcomes
P(head) = 1 / 2
P(head) = 0.5
In other words, the theoretical probability of getting a head is 0.5 or 50%, because there is only one favorable outcome (head) out of two equally likely outcomes (head and tail).
Theoretical probability can be used to make predictions and to identify the likelihood of an event occurring in a given situation. It can also be used as a way of verifying experimental results, by comparing the expected results with the actual results obtained in an experiment.
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