Question
Two groups performed an experiment separately by tossing a coin in the air. Group E performed 50 trials and group F performed 100 trials. Each group recorded the results in the table below:
Group Heads Tails
E 32 18
F 52 48
What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? (5 points)
The experimental probability is closer to the theoretical probability for group E than group F.
The experimental probability is closer to the theoretical probability for group F than group E.
The experimental probability and the theoretical probability for group E is the same.
The experimental probability and the theoretical probability for group F is the same.
Group Heads Tails
E 32 18
F 52 48
What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? (5 points)
The experimental probability is closer to the theoretical probability for group E than group F.
The experimental probability is closer to the theoretical probability for group F than group E.
The experimental probability and the theoretical probability for group E is the same.
The experimental probability and the theoretical probability for group F is the same.
Answers
GPT 3.5
The experimental probability is closer to the theoretical probability for group E than group F.
Group E, with 50 trials, had a closer balance between heads and tails, which is more in line with the expected probability of 50% for each outcome. Group F, with 100 trials, had a greater difference between heads and tails, which may suggest that they were further from the expected probability.
Group E, with 50 trials, had a closer balance between heads and tails, which is more in line with the expected probability of 50% for each outcome. Group F, with 100 trials, had a greater difference between heads and tails, which may suggest that they were further from the expected probability.
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