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4. Seven different names were put into a hat. A name is chosen from the hat 125 times, and the name Michael is drawn 24 times. What is the experimental probability of the name Michael being chosen? What is the theoretical probability? a. The experimental probability is b. The theoretical probability is

Ask by Bradley Fitzgerald. in the United States
Dec 17,2024

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The experimental probability is 0.192 or 19.2%, and the theoretical probability is \( \frac{1}{7} \) or approximately 0.1429 or 14.29%.

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The experimental probability is calculated by taking the number of times Michael was chosen and dividing it by the total number of draws. So, 24 draws for Michael out of 125 total draws gives us an experimental probability of 24/125, which approximately equals 0.192 or 19.2%. On the other hand, the theoretical probability assumes that each name has an equal chance of being chosen. Since there are seven different names, the theoretical probability of picking Michael is 1/7, which is about 0.143 or 14.3%.

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