Experimental Probability

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What is Experimental Probability?

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Experimental probability is the probability of an event based on the results of an experiment or trial, calculated as the number of times the event occurs divided by the total number of trials.

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How do you calculate Experimental Probability?

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Experimental Probability = (Number of favorable outcomes) / (Total number of trials)

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If Shannon selects a red jelly bean 11 times out of 44 trials, what is the experimental probability of selecting a red jelly bean?

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11/44 = 1/4 after simplification.

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What is the experimental probability of rolling a 1 on a 6-sided die if it was rolled 90 times and resulted in a 13 occurrences of 1?

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Experimental Probability = 13/90.

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If a bag contains 20 marbles (10 red, 5 blue, 5 white), what is the experimental probability of drawing a white marble?

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Experimental Probability = (Number of white marbles) / (Total number of marbles) = 5/20 = 1/4.

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What is the expected number of white marbles drawn in 50 draws if the experimental probability of drawing a white marble is 1/4?

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Expected number = (Probability of white marble) * (Total draws) = (1/4) * 50 = 12.5.

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Jon made 15 out of 35 free throws. What is his experimental probability as a fraction?

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Experimental Probability = 15/35 = 3/7 after simplification.

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What does it mean if an experimental probability is close to 1?

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It means that the event is very likely to occur based on the experimental results.

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What does it mean if an experimental probability is close to 0?

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It means that the event is very unlikely to occur based on the experimental results.

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What is the difference between theoretical probability and experimental probability?

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Theoretical probability is based on expected outcomes in a perfect scenario, while experimental probability is based on actual results from trials.