To find the difference between the theoretical and experimental probabilities of getting heads in this scenario, let's go through the steps in detail:
1. Theoretical Probability:
- A fair coin has two equal possible outcomes: heads (H) and tails (T).
- The theoretical probability [tex]\(P(H)\)[/tex] of getting heads in a single flip is
[tex]\[
P(H) = \frac{1}{2} = 0.5
\][/tex]
2. Experimental Probability:
- We need to find the experimental probability based on the given results of the 10 flips: T, T, T, H, T, T, T, H, T, T.
- Count the number of heads (H) in the results. There are 2 heads.
- Count the total number of flips. There are 10 flips.
- The experimental probability [tex]\(P(H)_{exp}\)[/tex] of getting heads is calculated by dividing the number of heads by the total number of flips:
[tex]\[
P(H)_{exp} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} = \frac{2}{10} = 0.2
\][/tex]
3. Difference between Theoretical and Experimental Probabilities:
- Subtract the experimental probability from the theoretical probability:
[tex]\[
\text{Difference} = |P(H) - P(H)_{exp}| = |0.5 - 0.2| = 0.3
\][/tex]
Thus, the difference between the theoretical and experimental probabilities of getting heads is [tex]\(0.3\)[/tex].
The correct answer is:
B. 0.3
