Let's solve this problem step-by-step using the details provided.
### Step 1: Theoretical Probability of Getting Heads
For a fair coin, the probability of landing heads (H) is:
[tex]\[ P(\text{Heads}) = 0.5 \][/tex]
### Step 2: Count the Number of Heads in the Given Results
We are given the following sequence of coin flips:
[tex]\[ T, T, T, H, T, T, T, H, T, T \][/tex]
Count the number of heads (H) in this sequence:
There are 2 heads.
### Step 3: Calculate the Empirical Probability of Getting Heads
To find the empirical probability, we use the formula:
[tex]\[ \text{Empirical Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} \][/tex]
Substitute the values into the formula:
[tex]\[ \text{Empirical Probability} = \frac{2}{10} = 0.2 \][/tex]
### Step 4: Calculate the Difference Between Theoretical and Empirical Probability
Now, find the difference between the theoretical probability and the empirical probability:
[tex]\[ \text{Difference} = |0.5 - 0.2| = 0.3 \][/tex]
### Conclusion
The difference between the theoretical and empirical probabilities of getting heads is:
[tex]\[ 0.3 \][/tex]
Thus, the correct answer is:
[tex]\[ A. 0.3 \][/tex]
