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.
The theoretical probability of landing on a 3 when rolling a six-sided number cube is 1/6.
The experimental probability of landing on a 3 after 30 rolls is calculated as the number of times a 3 is rolled divided by the total number of rolls. In this case, a 3 was rolled 10 times in 30 rolls.
Experimental probability = Number of successful outcomes / Total number of outcomes
Experimental probability = 10/30
Experimental probability = 1/3
Therefore, the theoretical probability of landing on a 3 is 1/6, and the experimental probability is 1/3.