What is experimental probability?

Answer

Experimental probability is the likelihood of an event occurring based on the results of an actual experiment or repeated trials. This type of probability relies on real-world data collected by performing the experiment multiple times and observing how often the event happens, rather than calculating based on possible outcomes and logical reasoning.

The formula to calculate experimental probability is:

$P(\text{Event})=\frac{\text{Number of times the event occurs}}{\text{Total number of trials}}$

When flipping a coin 100 times and counting how many times it lands on heads, getting heads 45 times produces an experimental probability of $\frac{45}{100}=0.45\text{ or }45\mathrm{\%}$ $\text{[}\frac{45}{100}=0.45\text{ or }$. This means that based on this experiment, the chance of getting heads is 45%, which reflects actual observed results rather than theoretical prediction. Experimental probability helps understand real-life randomness by examining actual trial data rather than theoretical possibilities.

How does experimental probability differ from theoretical probability?

Experimental probability differs from theoretical probability in calculation methods and underlying principles.

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