QUESTION IMAGE
Question
melanie and three of her classmates worked as a team to find the experimental probability of a spinner landing on a color section. • melanie performed 10 trials. • enrique performed 50 trials. • veronique performed 300 trials. • juanita performed 500 trials. compare the four experiments. which student is most likely to get an experimental probability best suited for predicting frequencies? ∘ melanie ∘ enrique ∘ veronique ∘ juanita
Step1: Recall the Law of Large Numbers
The Law of Large Numbers states that as the number of trials in a probability experiment increases, the experimental probability gets closer to the theoretical probability.
Step2: Compare the number of trials
- Melanie: 10 trials
- Enrique: 50 trials
- Veronique: 300 trials
- Juanita: 500 trials
Since Juanita performed the most number of trials (500), according to the Law of Large Numbers, her experimental probability is most likely to be closest to the theoretical probability (best at predicting frequencies).
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Juanita