The experimental probability will be equal to the theoretical probability when the number of trials is large enough and the outcomes closely resemble the expected ratio over time. However, in the given scenarios, we are looking at only six trials.
The theoretical probability of flipping heads with a fair coin is 0.5. In the scenarios presented:
- A coin is flipped six times and the head appears five times. (Experimental probability of heads = 5/6 ≈ 0.833)
- A coin is flipped six times and the head appears each time. (Experimental probability of heads = 6/6 = 1)
- A coin is flipped six times and the head appears three times. (Experimental probability of heads = 3/6 = 0.5)
- A coin is flipped six times and the head appears four times. (Experimental probability of heads = 4/6 ≈ 0.667)
The only scenario where the experimental probability matches the theoretical probability (0.5) is:
A coin is flipped six times and the head appears three times.
So, the correct response is the third option.
1 answer