Answer :
Let's solve this problem step-by-step:
1. Count the number of heads (H) from the results:
Reviewing the given results: T, T, T, H, T, T, T, H, T, T.
We see heads (H) appear in the 4th and 8th flips.
Therefore, the number of heads (H) is 2.
2. Calculate the experimental probability of getting heads:
The experimental probability is calculated by dividing the number of times heads appears 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]
3. Determine the theoretical probability of getting heads for a fair coin:
A fair, unbiased coin has an equal chance of landing on heads or tails, so the theoretical probability of getting heads (H) is [tex]\(0.5\)[/tex] or [tex]\(50\%\)[/tex].
4. Find the difference between the theoretical and experimental probabilities:
The difference is found by subtracting the experimental probability from the theoretical probability:
[tex]\[ \text{Difference} = \left| \text{Theoretical Probability} - \text{Experimental Probability} \right| = \left| 0.5 - 0.2 \right| = 0.3 \][/tex]
So, the difference between the theoretical and experimental probabilities of getting heads is:
A. 0.3
1. Count the number of heads (H) from the results:
Reviewing the given results: T, T, T, H, T, T, T, H, T, T.
We see heads (H) appear in the 4th and 8th flips.
Therefore, the number of heads (H) is 2.
2. Calculate the experimental probability of getting heads:
The experimental probability is calculated by dividing the number of times heads appears 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]
3. Determine the theoretical probability of getting heads for a fair coin:
A fair, unbiased coin has an equal chance of landing on heads or tails, so the theoretical probability of getting heads (H) is [tex]\(0.5\)[/tex] or [tex]\(50\%\)[/tex].
4. Find the difference between the theoretical and experimental probabilities:
The difference is found by subtracting the experimental probability from the theoretical probability:
[tex]\[ \text{Difference} = \left| \text{Theoretical Probability} - \text{Experimental Probability} \right| = \left| 0.5 - 0.2 \right| = 0.3 \][/tex]
So, the difference between the theoretical and experimental probabilities of getting heads is:
A. 0.3