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a) What is the experimental probability of rolling each number?
b) And how do these compare to the theoretical probabilities?
a) Out of fifty rolls of the die:
1 appears nine times; 2 appears seven times; 3 appears eight times; 4 appears nine times; 5 appears seven times; and 6 appears ten times
Thus, the experimental probability is as follows:
b) Now let's compare these to the theoretical probabilities. Each
number is equally likely to be rolled, so each has a theoretical
probability of ⅙ or about 16.7%. The experimental probabilities are
close to this; some are slightly higher and some are slightly lower.
Rowan drew a marble from this bag, recorded the color (blue, green, or orange), then replaced it and drew again. She did this forty times. Here are the results:
g g g b b g g o g b b b g o g b o g o o b b g o g g b g b o g b g o g o g g o o
Make a chart comparing the experimental and theoretical probabilities of drawing each color.