The Basics of Event Probability

Concept

Experimental Probability

Experimental probability is the probability of an event occurring based on data collected from repeated trials of a probability experiment. For each trial, the outcome is noted. When all trials are performed, the experimental probability of an event is calculated by dividing the number of times the event occurs, or its frequency, by the number of trials.

P(event)=Number of times the event occurs/Number of trials [0.5em] ⇕ [0.5em] P(event)=Frequency of the event/Number of trials

By repeating an experiment many times, the result will trend toward the theoretical probability of the event. For example, consider the flip of a fair coin and the event that tails is the outcome. Use the applet to simulate the outcomes and calculate the experimental probability.

Flipping a Coin 100, 500, and 1000 times

The experimental probability of tails as an outcome is close to the theoretical probability of 0.5.

Exercises
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