The scenario in which the experimental probability equals the theoretical probability is when the outcomes of the experiment reflect the expected probabilities over a large number of trials. However, in the examples you provided, no specific scenario guarantees that equal values will occur due to the limited number of flips.
The theoretical probability of getting heads in a fair coin flip is 50% (or 0.5). Over six flips, the expected number of heads can vary due to randomness.
That said, if you were to check each of the provided outcomes:
- A coin is flipped six times and the head appears each time. (Experimental probability: 100% heads, which does not match theoretical probability)
- A coin is flipped six times and the head appears four times. (Experimental probability: 4/6 = 67%, does not match theoretical)
- A coin is flipped six times and the head appears five times. (Experimental probability: 5/6 = about 83%, does not match theoretical)
- A coin is flipped six times and the head appears three times. (Experimental probability: 3/6 = 50%, which matches the theoretical probability)
So, the correct answer is:
A coin is flipped six times and the head appears three times.