To determine the difference between the theoretical and experimental probabilities of getting heads, let's go through the steps methodically.
1. Theoretical Probability:
- The probability of getting heads in a fair coin flip (theoretical probability) is known to be [tex]\(0.5\)[/tex].
2. Experimental Results:
- We have the results of 10 coin flips: T, T, T, H, T, T, T, H, T, T.
3. Count Number of Heads:
- From the results, we see that heads (H) appeared 2 times.
4. Total Number of Flips:
- The total number of flips is 10.
5. Experimental Probability:
- The experimental probability of getting heads is calculated by dividing the number of heads by the total number of flips:
[tex]\[
\text{Experimental Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} = \frac{2}{10} = 0.2
\][/tex]
6. Difference Between Theoretical and Experimental Probabilities:
- The difference is calculated by taking the absolute value of the difference between the theoretical probability and the experimental probability:
[tex]\[
\text{Difference} = |0.5 - 0.2| = 0.3
\][/tex]
7. Select the Correct Answer:
- Based on the calculation, the difference between the theoretical and experimental probabilities of getting heads is [tex]\(0.3\)[/tex].
Therefore, the correct answer is:
D. 0.3
