Dave is taking a algebra II test and comes across this question: You have two die that you will roll. You will sum up the face v
alues and record the sum in a chart. You need to complete 250 trials and find the probability of rolling a sum of 8. Unfortunately, he does not have enough time to complete all 250 trials so he is going to make an educated guess. What is his guess and how did he use the law of large numbers to help him? A) Dave guessed 0.42. The law of large numbers states that as the number of trials increases the experimental probability approaches the actual probability. He determined the actual probability would be 5 12 . With 250 trials he could use the law of large numbers and expect the experimental probability to be near there. B) Dave guessed 0.14. The law of large numbers states that as the number of trials increases the experimental probability approaches the theoretical probability. He determined the theoretical probability would be 5 36 . With 250 trials he could use the law of large numbers and expect the experimental probability to be near there. C) Dave guessed 0.14. The law of large numbers states that as the number of trials decreases the theoretical probability approaches the experimental probability. He determined the theoretical probability would be 5 36 . With 250 trials he could use the law of large numbers and expect the experimental probability to be near there. D) Dave guessed 0.42. The law of large numbers states that as the number of trials decreases the theoretical probability approaches the experimental probability. He determined the theoretical probability would be 5 12 . With 250 trials he could use the law of large numbers and expect the experimental probability to be near there.
<u>(B)</u> Dave guessed 0.14. The law of large numbers states that as the number of trials increases the experimental probability approaches the theoretical probability. He determined the theoretical probability would be 5 36 . With 250 trials he could use the law of large numbers and expect the experimental probability to be near there.
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Hope this helps! Glad to help and hope you do well on your quiz/test!
