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How do you calculate experimental probability?

seo-qna
Last updated date: 14th Jul 2024
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Answer
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Hint: We first express the concept of probability and the two ways to express them. Then we discuss the difference between Experimental probability and theoretical probability. Mathematically, the theoretical probability is described as the number of favourable outcomes divided by the number of possible outcomes whereas Experimental probability based on actual experiments and adequate recordings of the happening of events

Complete step by step solution:
Experimental probability, also known as Empirical probability, is based on actual experiments and adequate recordings of the happening of events. To determine the occurrence of any event, a series of actual experiments are conducted. Experiments which do not have a fixed result are known as random experiments. The outcome of such experiments is uncertain. Random experiments are repeated multiple times to determine their likelihood. An experiment is repeated a fixed number of times and each repetition is known as a trial.
We can express this as the mathematical form of $p\left( A \right)=\dfrac{n\left( A \right)}{n\left( S \right)}$.
Here we express a particular event of A with a number of favourable outcomes of the event A is $n\left( A \right)$. The total outcome is $n\left( S \right)$.

Note:
Experimental probability is the actual result of an experiment, which may be different from the theoretical probability. Theoretical probability does not require any experiments to conduct but Experimental probability needs an experiment.