Certainly! Let's work through the problem step-by-step.
1. Understanding Theoretical Probability:
- For a fair, unbiased coin, the probability of getting heads (H) is 0.5, and the same is true for getting tails (T).
- This is because there are only two possible outcomes, both equally likely.
2. Flipping the Coin and Results:
- The coin is flipped 10 times. The results are as follows: T, T, T, H, T, T, T, H, T, T.
3. Calculating Experimental Probability:
- To find the experimental probability, we need to count the number of heads obtained and divide by the total number of flips.
- In this series of flips, there are 2 heads (H) out of 10 flips.
- Experimental probability of heads is calculated as:
[tex]\[
\text{Experimental Probability} = \frac{\text{Number of heads}}{\text{Total number of flips}} = \frac{2}{10} = 0.2
\][/tex]
4. Finding the Difference:
- The theoretical probability of getting heads is 0.5.
- The experimental probability of getting heads is 0.2.
- The difference between the theoretical and experimental probabilities is:
[tex]\[
\text{Difference} = | 0.5 - 0.2 | = 0.3
\][/tex]
5. Selecting the Correct Answer:
- The possible answers are:
A. 0.5
B. 0.0
C. 0.1
D. 0.3
- From our calculation, the difference is 0.3, which corresponds to option D.
Therefore, the correct answer is:
D. 0.3
