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Sagot :
To find the difference between the theoretical and experimental probabilities of getting heads, we can follow a step-by-step process:
1. Count the total number of flips:
The total number of flips is given as 10.
2. Count the number of heads (H):
From the table, we observe the results: T, T, T, H, T, T, T, H, T, T.
There are 2 heads in the given sequence.
3. Calculate the experimental probability of getting heads:
The experimental probability is given by the formula:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Experimental Probability} = \frac{2}{10} = 0.2 \][/tex]
4. Determine the theoretical probability of getting heads:
For a fair, unbiased coin, the probability of getting heads is always 0.5.
5. Calculate the difference between the theoretical and experimental probabilities:
The difference can be calculated by taking the absolute value of the difference between the theoretical and experimental probabilities:
[tex]\[ \text{Difference} = |0.5 - 0.2| = 0.3 \][/tex]
Thus, the difference between the theoretical and experimental probabilities of getting heads is [tex]\( \boxed{0.3} \)[/tex]. So, the correct answer is:
[tex]\[ \text{B.} \quad 0.3 \][/tex]
1. Count the total number of flips:
The total number of flips is given as 10.
2. Count the number of heads (H):
From the table, we observe the results: T, T, T, H, T, T, T, H, T, T.
There are 2 heads in the given sequence.
3. Calculate the experimental probability of getting heads:
The experimental probability is given by the formula:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Experimental Probability} = \frac{2}{10} = 0.2 \][/tex]
4. Determine the theoretical probability of getting heads:
For a fair, unbiased coin, the probability of getting heads is always 0.5.
5. Calculate the difference between the theoretical and experimental probabilities:
The difference can be calculated by taking the absolute value of the difference between the theoretical and experimental probabilities:
[tex]\[ \text{Difference} = |0.5 - 0.2| = 0.3 \][/tex]
Thus, the difference between the theoretical and experimental probabilities of getting heads is [tex]\( \boxed{0.3} \)[/tex]. So, the correct answer is:
[tex]\[ \text{B.} \quad 0.3 \][/tex]
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