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Mathematics 42 Online
OpenStudy (thecharmingcharm):

You rolled a number cube 50 times. Your results are shown in the table below. Number Frequency 1 4 2 9 3 6 4 12 5 9 6 10 What is the experimental probability of rolling a 3? A. 3/25 B. 12/25 C. 3/50 D. 12/50

OpenStudy (cecil_the_weasel):

Firstly, do you understand the difference between experimental and theoretical probability?

OpenStudy (thecharmingcharm):

not really

OpenStudy (cecil_the_weasel):

Experimental probability is defined as the ratio of the number of times an event occurs to the total number times the activity is performed. So, the results of you performing the experiment. Theoretical probability is a prediction of what that ratio will be based on the number of events and the amount of times that event will be repeated. The difference? You must perform the experiment to find experimental probability. You don't need to do this for theoretical probability.

OpenStudy (cecil_the_weasel):

So you are dealing with experimental probability in this problem because someone has actually done the experiment and has the results

OpenStudy (thecharmingcharm):

okay

OpenStudy (cecil_the_weasel):

So the number 3 was rolled 6 out of 50 times in the experiment.

OpenStudy (cecil_the_weasel):

6/50 is your experimental probability and your answer you just have to reduce it

OpenStudy (thecharmingcharm):

so would it be 3/25?

OpenStudy (cecil_the_weasel):

Yup! ☺

OpenStudy (thecharmingcharm):

alright, thanks for the explanation! :D

OpenStudy (cecil_the_weasel):

Sorry if I over-complicated things. If you are confused, Khan Academy has great videos on this. Glad I could help :D

OpenStudy (thecharmingcharm):

Oh no don't worry, you explained it perfectly! :3 Thanks again.

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