In which scenario is the experimental probability equal to the theoretical probability?(1 point)

Question

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 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 four times.

Answer 1

A coin is flipped six times and the head appears three times. (Experimental probability and theoretical probability are the same when all possible outcomes are equally likely and the sample size is large enough for the law of large numbers to apply.)

Answer 2

A coin is flipped 150 times. The results of the experiment are shown in the following table:

Heads Tails
63 87

Which of the following statements best describes the experimental probability of getting heads? (5 points)

It is equal to the theoretical probability.
It is 8% lower than the theoretical probability.
It is 8% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.

Answer 3

The experimental probability of getting heads can be calculated by dividing the number of heads by the total number of flips: 63/150 = 0.42 or 42%.

Since the theoretical probability of getting heads on a fair coin is 0.5 or 50%, we can compare the experimental and theoretical probabilities to determine the difference.

The experimental probability of getting heads is 8% lower than the theoretical probability.

Therefore, the correct answer is: It is 8% lower than the theoretical probability.