What is the difference between experimental and theoretical probability?
Question
What is the difference between experimental and theoretical probability?
Solution
Theoretical probability is a probability that is determined through reasoning or mathematical calculations. It is based on the possible outcomes that are expected to occur. For example, when you flip a coin, the theoretical probability of getting a head is 1/2, because there is one favorable outcome (head) and two possible outcomes (head and tail).
On the other hand, experimental probability is a probability that is determined through actual experiments or empirical observations. It is based on the outcomes that have actually occurred. For example, if you flip a coin 100 times and get a head 60 times, the experimental probability of getting a head is 60/100 or 0.6.
In summary, theoretical probability is based on reasoning and mathematical calculations, while experimental probability is based on actual experiments and observations. The two types of probability may not always be the same due to various factors such as experimental errors, sample size, and randomness.
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