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A number cube is rolled 450 times. The number 3 comes up 67 times.( A) What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
(B) What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
Pls answer! And can you tell me how you got your answer? I am so confused on this topic....Thanks!
Remember these definitions:
Theoretical Probability: This is what is expected to happen.
Experimental Probability: This is what actually happened in an experiment.
(A) - Since a number cube has \(6 \) even sides, the theoretical probability of rolling a side (\(3\) in this case,) is \(\frac{1}{6}\).
(B) - If the number \(3\) came up \(67\) times out of the \(450\) times rolled, then the experimental probability is \(\frac{67}{450}\).