SOLUTION: A dice was tossed 300 times. Each number has an equal chance of being rolled the same amount of times. What is the difference of the theoretical probability and experimental prob

Question 295554: A dice was tossed 300 times. Each number has an equal chance of being rolled the same amount of times. What is the difference of the theoretical probability and experimental probability, in percent, of getting a 4 if the experimental probability was 54. I am stumped as to how to find out the difference in %. The theoretical I think should be 50 since there are 6 numbers, so the difference is 4.

Found 2 solutions by edjones, OmniMaestra:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
4/50=12.5%
Answer by OmniMaestra(21) (Show Source): You can put this solution on YOUR website!
When calculating probabilities always remember to compare the part the whole. In the original scenario, the "whole" was 300 tosses of the dice and the "part" was 54 fours. So the ratio is 54/300. Theoretically, there are a total of 6 possible tosses (so the whole is 6) and only one chance out of the six to roll a four. So the ratio is 1/6.
Now to find the percent we change each of the ratios into decimals and then into percents:
TO change to a decimal divide--> 54/300= .18 then to change it to percent multiply .18 *100 = 18%
TO change to a decimal divide--> 1/6 = .1666... rounded to .1667 then to change it to percent multiply *100 = 16.67%
Then to find the difference in the percentages just subtract 16.67% from 18% which gives the answer 1.33% or 1 1/3 %

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