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Basic Statistics & Probability

Basic Statistics & Probability

Predicting vs. Observing Probability Examples

Example 1

A die was rolled 50 times. These are the results:

6 5 4 5 4 1 3 4 2 6 2 6 1 6 6 4 2 4 5 5 1 1 1 5 3
3 3 1 5 3 6 1 4 1 4 2 3 3 1 2 6 6 4 3 6 6 5 4 2 2

a) What is the experimental probability of rolling each number? 

b) And how do these compare to the theoretical probabilities?


Example 2

bag of marbles

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.

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