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

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 five times.
A coin is flipped six times and the head appears five times.

A coin is flipped six times and the head appears four times.

1 answer

The experimental probability is equal to the theoretical probability when the number of trials is sufficiently large for the results to reflect the expected outcome. In a fair coin flip, the theoretical probability of getting heads is 0.5.

In the scenarios provided, there's not enough information to definitively state that the experimental probability equals the theoretical probability, as we don't know if the number of trials (in this case, six flips) is enough for the experimental results to match the theoretical expectation.

However, the scenario where the head appears three times out of six flips (50% heads) would most closely match the theoretical probability of 50%, especially since it balances perfectly with the expected outcome.

Therefore, the response is:

A coin is flipped six times and the head appears three times.