Experimental probability is the probability of an event occurring based on experimental results from a series of trials or experiments. It is calculated by performing the experiment and recording the outcomes, then determining the probability based on the observed results.
Here's a step-by-step guide to understanding and calculating experimental probability:
Perform the Experiment: Conduct the experiment or series of trials to gather data on the outcomes of the event.
Record the Outcomes: Keep track of the number of favorable outcomes (the event of interest) and the total number of outcomes.
Calculate the Experimental Probability: Use the formula to determine the experimental probability by dividing the number of favorable outcomes by the total number of outcomes.
Interpret the Results: Analyze the experimental probability to understand the likelihood of the event occurring based on the experimental data.
Example Problems
Here are some example problems to practice calculating experimental probability:
Problem 2: A spinner is divided into 8 equal sections, with 3 sections labeled "win". If the spinner is spun 40 times and lands on "win" 15 times, what is the experimental probability of winning?
By following the steps and practicing with example problems, you can become proficient in calculating experimental probability.
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