Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.