CK-12-Basic Probability and Statistics Concepts - A Full Course

(Marvins-Underground-K-12) #1

3.5. Theoretical and Experimental Spinners http://www.ck12.org


The question asks how many times we landed on blue (number 1) for the 50 spins. Press the right arrow
(
I


)


, and the frequency label will show you how many of the times the spinner landed on blue (number 1).


Now go back to the question. How many times does the spinner land on blue if it is spun 50 times? The answer is



  1. To calculate the probability of landing on blue, we have to divide by the total number of spins.


P(blue) =

11


50


= 0. 22


Therefore, for this experiment, the probability of landing on blue with 50 spins is 22%.


If we tried 100 trials, we would see something like the following:


In this case, we see that the frequency of 1 is 23.


So how many times does the spinner land on blue if it is spun 100 times? The answer is 23. To calculate the
probability of landing on blue in this case, we again have to divide by the total number of spins.


P(blue) =

23


100


= 0. 23


Therefore, for this experiment, the probability of landing on blue with 100 spins is 23%. You can see that as we
perform more trials, we get closer to 25%, which is the theoretical probability.

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