Question

In which scenario is the experimental probability equal to the theoretical probability?(1 point) Responses A coin is flipped six times and the head appears four times. A coin is flipped six times and the head appears four times. A coin is flipped six times and the head appears five times. A coin is flipped six times and the head appears five times. A coin is flipped six times and the head appears three times. A coin is flipped six times and the head appears three times. A coin is flipped six times and the head appears each time.

Answer 1

The experimental probability will equal the theoretical probability in the scenario where a coin is flipped six times and the head appears each time.

Here's why:

• The theoretical probability of getting heads when flipping a fair coin is \( \frac{1}{2} \).
• If the coin is flipped six times and heads appears every time, the experimental probability of getting heads would be \( \frac{6}{6} = 1 \).

However, among the given options, it is also possible that if the number of trials is large and reflects the theoretical probability closely, they can match.

But since your question specifically mentions where the experimental probability equals the theoretical probability based on the 6 specific trials, it is the only case where the actual outcome perfectly matches the theoretical expected outcome, thus the correct choice is:

A coin is flipped six times and the head appears each time.