A student rolls a fair six-sided die 60 times and records the outcomes. They observe that the number 3 comes up 12 times. Is the experimental probability greater or less than the theoretical probability?
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Experimental > Theoretical
Experimental < Theoretical
Experimental = Theoretical
Experimental probability is often based on the actual results of a real-life experiment, while theoretical probability is based on mathematical calculations and assumptions. In this case, the student observed that the number 3 came up 12 times out of 60 rolls, so the experimental probability of rolling a 3 is 12/60 = 1/5.
The theoretical probability of rolling a 3 on a fair six-sided die is 1/6.
Therefore, the experimental probability (1/5) is less than the theoretical probability (1/6) in this case.