## Experimental Probability

### Experimental probability refers to the probability of an event occurring based on experiments or observations

Experimental probability refers to the probability of an event occurring based on experiments or observations. It is determined by conducting a series of trials and recording the outcomes to see how often the event of interest occurs.

To find the experimental probability of an event, you need to divide the number of times the event occurred by the total number of trials conducted. Let’s go through an example to understand it better.

Suppose you are flipping a fair coin and want to find the experimental probability of getting heads. You decide to conduct 100 trials and record the outcomes. After flipping the coin 100 times, you find that heads occur 60 times.

To calculate the experimental probability of getting heads, you divide the number of times heads occurred (60) by the total number of trials (100):

Experimental probability of heads = Number of times heads occurred / Total number of trials

= 60 / 100

= 0.6 or 60%

Hence, in this experiment, the experimental probability of getting heads is 0.6 or 60%.

It is important to note that the experimental probability may vary from one set of trials to another, especially if the number of trials is relatively small. As the number of trials increases, the experimental probability tends to approach the theoretical probability, which is based on mathematical calculations.

Experimental probability is a useful tool for approximating the actual likelihood of an event occurring based on real-world observations or experiments. It can help us make predictions or draw conclusions about the probability of events when we cannot rely on theoretical calculations.

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