A sixth sided number cube is rolled 30 time and lands on 3 ten times and on 5 eight times calculate the theoretical and experimental probabilities of landing on a 3 right. Your answer in the simplest form of a fraction.
The theoretical probability of landing on a 3 when rolling a six-sided number cube is $\frac{1}{6}$, since there is one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).
The experimental probability of landing on a 3 when the number cube is rolled 30 times is calculated as the number of times a 3 was rolled divided by the total number of rolls. In this case, a 3 was rolled 10 times out of 30 rolls, so the experimental probability is $\frac{10}{30} = \frac{1}{3}$.
Therefore, the theoretical probability of landing on a 3 is $\frac{1}{6}$ and the experimental probability of landing on a 3 is $\frac{1}{3}$.