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A standard dice numbered 1-6 is rolled 600 times. The number 4 came up 120 times. What is the experimental probability? What is the theoretical probability?

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Answer

Experimental Probability = (120/600) = 0.20

Theoretical Probability = (100/600) = 0.167

Step-by-step explanation

Experimental probability uses the results of an actual experiment to compute the probability of an event.

Theoretical probability uses what the results should be, in theory, to calculate the probability of the event.

Probability of an event = (Number of times the event occurs)/(Total number of times)

For experimental probability,

Number of times the event occurs = Number of times 4 came up in the experiment = 120

Total number of times = 600

Experimental Probability = (120/600) = 0.20

For theoretical probability,

Since there are 6 numbers, the number of times that one number can come up is 100 out of 600 times.

Number of times the event occurs = 100

Total number of times = 600

Theoretical Probability = (100/600) = 0.167

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