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Sagot :
To find the difference between the theoretical and experimental probabilities of getting heads, let's break down the problem step-by-step.
1. Counting the Heads:
- By examining the results, we observe that heads (H) appeared 2 times.
2. Total Number of Flips:
- The coin was flipped a total of 10 times.
3. Calculating the Experimental Probability of Getting Heads:
- The experimental probability of getting heads is the number of heads divided by the total number of flips.
[tex]\[ \text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} = \frac{2}{10} = 0.2 \][/tex]
4. Theoretical Probability of Getting Heads:
- For a fair, unbiased coin, the theoretical probability of getting heads is 0.5 (since there are two equally likely outcomes—heads or tails).
5. Finding the Difference:
- Subtract the experimental probability from the theoretical probability.
[tex]\[ \text{Difference} = \text{Theoretical Probability} - \text{Experimental Probability} = 0.5 - 0.2 = 0.3 \][/tex]
Therefore, the correct answer is:
B. 0.3
1. Counting the Heads:
- By examining the results, we observe that heads (H) appeared 2 times.
2. Total Number of Flips:
- The coin was flipped a total of 10 times.
3. Calculating the Experimental Probability of Getting Heads:
- The experimental probability of getting heads is the number of heads divided by the total number of flips.
[tex]\[ \text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} = \frac{2}{10} = 0.2 \][/tex]
4. Theoretical Probability of Getting Heads:
- For a fair, unbiased coin, the theoretical probability of getting heads is 0.5 (since there are two equally likely outcomes—heads or tails).
5. Finding the Difference:
- Subtract the experimental probability from the theoretical probability.
[tex]\[ \text{Difference} = \text{Theoretical Probability} - \text{Experimental Probability} = 0.5 - 0.2 = 0.3 \][/tex]
Therefore, the correct answer is:
B. 0.3
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