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The experimental probability of drawing a white marble is Brianna has a bag of marbles that are all the same size. Of all the marbles in the bag, there are 6 red, 7 white, 3 black, and 4 green marbles.
Ryan asks 80 people to chose a marble, note the color, and replace the marble in Brianna's bag. The results of the random marble selections in this experiment are: 34 red, 18 white, 9 black, and 19 green marbles. How does the theoretical probability compare with the experimental probability of drawing a white marble?
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GPT-5 mini
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Theoretical probability = 7 white out of 20 total = 7/20 = 0.35 = 35%.
Experimental probability = 18 white out of 80 trials = 18/80 = 0.225 = 22.5%.
So the experimental probability (22.5%) is lower than the theoretical probability (35%) by 12.5 percentage points (about 35.7% lower). This difference can be attributed to sampling variability in the 80 trials.
Experimental probability = 18 white out of 80 trials = 18/80 = 0.225 = 22.5%.
So the experimental probability (22.5%) is lower than the theoretical probability (35%) by 12.5 percentage points (about 35.7% lower). This difference can be attributed to sampling variability in the 80 trials.
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