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Concepts of Experimental and Theoretical Probability

This topic covers the concepts of experimental and theoretical probability. Problems related to complementary events and the likelihood of an event are also included.

Topic: Experimental Probability

  • Experimental probability ≈ Number of times the event occurs / Total number of trials

  • The more trials you have, the more accurate the estimate is likely to be

  • The complement of an event is the set of all outcomes that are not the event.

  • P(event) + P(complement) = 1

Topic: Theoretical Probability

  • Theoretical probability is used to find the probability of an event when all outcomes are equally likely, as determined through reasoning or calculation. However, it is not the actual probability; it is not based on historical data

  • Theoretical probability = Number of ways the event can occur / Total number of equally likely outcomes
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