Question

A person was trying to
figure out the probability of getting two heads when flipping two
coins. He flipped two coins 10 times, and in 2 of these 10 times,
both coins landed heads. On the basis of this outcome, he claims
that the probability of two heads is 2>10, or 20%. Is this an
example of an empirical probability or a theoretical probability?
Explain

Answer 1

Step-by-step explanation:

This is an example of empirical probability. Empirical probability is based on observed data or experiments, like the person flipping the coins 10 times and recording the outcomes. The theoretical probability, on the other hand, is based on mathematical calculations and assumptions, such as the probability of getting two heads when flipping two fair coins, which is \( \frac{1}{4} \) or 25%. The empirical probability is calculated from observed frequencies in real-world experiments, while theoretical probability is based on mathematical models and assumptions.