To solve this problem, let’s follow these steps:
1. Theoretical Probability of Getting Heads:
- A fair coin has an equal chance of landing on heads (H) or tails (T).
- The theoretical probability of getting heads for a fair coin is [tex]\(0.5\)[/tex] or [tex]\(50\%\)[/tex].
2. Find the Number of Heads in the Coin Flips:
- The given results of the coin flips are: T, T, T, H, T, T, T, H, T, T.
- Count the number of heads (H) in these results.
- There are 2 heads (H) in the total 10 flips.
3. Calculate the Experimental Probability of Getting Heads:
- The experimental probability is calculated by the ratio of the number of heads to the total number of flips.
- Number of heads (H) is 2.
- Total number of flips is 10.
- Therefore, the experimental probability [tex]\(P_{\text{experimental}}\)[/tex] is [tex]\( \frac{2}{10} = 0.2 \)[/tex].
4. Difference Between Theoretical and Experimental Probabilities:
- Theoretical probability [tex]\(P_{\text{theoretical}}\)[/tex] is [tex]\(0.5\)[/tex].
- Experimental probability [tex]\(P_{\text{experimental}}\)[/tex] is [tex]\(0.2\)[/tex].
- The difference is calculated as: [tex]\( P_{\text{theoretical}} - P_{\text{experimental}} = 0.5 - 0.2 = 0.3 \)[/tex].
5. Conclusion:
- The difference between the theoretical and experimental probabilities of getting heads is [tex]\(0.3\)[/tex].
Thus, the correct answer is:
A. 0.3
