Final answer:
The theoretical probability of getting tails with a fair coin is 0.5, whereas the experimental probability was found to be 2/3. The question seeks the difference between these two probabilities, which is 1/6, indicating the experimental results observed tails more often than theoretically expected.
Step-by-step explanation:
The question asks about the difference between experimental and theoretical probability regarding coin tosses. The theoretical probability of landing tails in a fair coin toss is 0.5 or 1/2, meaning there is a 50% chance of getting tails on any single toss. However, the experimental probability given is 2/3, indicating that in the experiment, tails came up 66.7% of the time.
To find the difference between the experimental and theoretical probabilities, we subtract the theoretical probability from the experimental probability: 2/3 - 1/2. Converting 1/2 to an equivalent fraction with a denominator of 6 gives us 3/6, so the calculation becomes 4/6 - 3/6 = 1/6. Therefore, the difference is 1/6, which means that the experimental probability was higher by 1/6 than what one would theoretically expect from a fair coin