Question
You flipped a coin 10 times and got 5 heads, and 5 tails. Did the experimental probability match the theoretical probability?
Group of answer choices
Yes
No
You will need to flip the coin more times to find out
Not enough info
Group of answer choices
Yes
No
You will need to flip the coin more times to find out
Not enough info
Answers
GPT-4o mini
The theoretical probability of getting heads or tails when flipping a fair coin is \(0.5\) (or 50%) for each outcome. In your experiment, you flipped the coin 10 times and got 5 heads and 5 tails.
The experimental probability of getting heads in your case is calculated as follows:
\[
\text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Flips}} = \frac{5}{10} = 0.5
\]
Since the experimental probability (0.5) matches the theoretical probability (0.5), the answer is:
**Yes**.
The experimental probability of getting heads in your case is calculated as follows:
\[
\text{Experimental Probability of Heads} = \frac{\text{Number of Heads}}{\text{Total Flips}} = \frac{5}{10} = 0.5
\]
Since the experimental probability (0.5) matches the theoretical probability (0.5), the answer is:
**Yes**.