Question
In experiment, a coin is flipped 30 times and the results are
{H, H, H, T, T, T, T, H, T, H, H, T, H, H, H, T, T, H, H, H, T, H, T, T, H, T, H, H, H, H}.
Heads: 18
Tails: 12
(2 points)
Compare the theoretical and experimental probability. Round your answer to the tenth place (one digit).
{H, H, H, T, T, T, T, H, T, H, H, T, H, H, H, T, T, H, H, H, T, H, T, T, H, T, H, H, H, H}.
Heads: 18
Tails: 12
(2 points)
Compare the theoretical and experimental probability. Round your answer to the tenth place (one digit).
Answers
GPT 3.5
The theoretical probability of getting heads when flipping a fair coin is 0.5, and the theoretical probability of getting tails is also 0.5.
Experimental probability of getting heads:
Number of heads = 18
Total number of flips = 30
Experimental probability = 18/30 ≈ 0.6
Experimental probability of getting tails:
Number of tails = 12
Total number of flips = 30
Experimental probability = 12/30 = 0.4
Comparing the theoretical and experimental probabilities:
Theoretical probability of heads = Experimental probability of heads, so they are the same.
Theoretical probability of tails = Experimental probability of tails, so they are the same.
Therefore, in this experiment, the theoretical and experimental probabilities match for both heads and tails.
Experimental probability of getting heads:
Number of heads = 18
Total number of flips = 30
Experimental probability = 18/30 ≈ 0.6
Experimental probability of getting tails:
Number of tails = 12
Total number of flips = 30
Experimental probability = 12/30 = 0.4
Comparing the theoretical and experimental probabilities:
Theoretical probability of heads = Experimental probability of heads, so they are the same.
Theoretical probability of tails = Experimental probability of tails, so they are the same.
Therefore, in this experiment, the theoretical and experimental probabilities match for both heads and tails.