Experimental probability
The ratio of the number of times an event occurs to the number of trials
Experimental probability is an approach to calculating the likelihood of an event occurring based on the results of an experiment or trial. This method involves conducting multiple trials or tests of an experiment and then calculating the probability of an event occurring based on the frequency of its occurrence in those trials.
Here are the steps involved in determining experimental probability:
1. Define the event: Start by defining the event for which you want to calculate the probability. For example, if you are flipping a coin, the event could be getting heads.
2. Conduct the experiment: Carry out the experiment by flipping the coin a predetermined number of times. For example, if you want to flip the coin 10 times, then do so and record the results.
3. Count the number of occurrences: Count the number of times the event occurred during the experiment. For example, if you flipped the coin 10 times and got heads 4 of those times, then the number of occurrences of the event (heads) is 4.
4. Calculate the experimental probability: Determine the experimental probability by dividing the number of occurrences by the total number of trials. In this example, the experimental probability of getting heads is 4/10, or 0.4 (or 40%).
5. Repeat and refine: To increase the accuracy of your results, continue repeating the experiment multiple times and refining your calculations.
In summary, experimental probability involves conducting an experiment or trial, counting the number of times an event occurs, and then calculating the probability of the event based on the frequency of its occurrence.
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