A six-sided number cube is rolled 30 times and lands on 3 ten times and on 5 eight times. Calculate the theoretical AND experimental probabilities of landing on a 3. Write your answer in the simplest form of a fraction.
Theoretical probability of landing on a 3: There is 1 out of 6 possible outcomes when rolling a six-sided number cube, so the theoretical probability of landing on a 3 is 1/6.
Experimental probability of landing on a 3: Out of the 30 times the cube was rolled, it landed on a 3 ten times. Therefore, the experimental probability of landing on a 3 is 10/30.
In simplest form, the experimental probability is 1/3, which is equal to the theoretical probability.