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Sebastian states that experimental and theoretical probabilities are never the same.

Is Sebastian's statement true? Why or why not?

Responses

No, experimental probabilities and theoretical probabilities are always the same.
No, experimental probabilities and theoretical probabilities are always the same.

Yes, experimental probabilities and theoretical probabilities are never the same.
Yes, experimental probabilities and theoretical probabilities are never the same.

No, experimental and theoretical probabilities may sometimes be the same.
No, experimental and theoretical probabilities may sometimes be the same.

1 answer

Sebastian's statement is not true. The correct response is:

No, experimental and theoretical probabilities may sometimes be the same.

Here's why:

  • Theoretical Probability is based on the expected outcomes based on predictions and calculations. It assumes a perfectly random scenario where all outcomes have equal chances of occurring.

  • Experimental Probability is based on actual experiments or trials conducted, where outcomes are observed in real-world conditions.

While they can differ due to variations in sample size, randomness, and other factors, they can also coincide, especially as the number of trials increases in an experiment. With a sufficiently large number of trials, the experimental probability may converge towards the theoretical probability, making them effectively the same in practical terms.