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 P(3) =
Experimental P(3) =
The theoretical probability of rolling a 3 on a six-sided number cube is 1/6.
Experimental P(3) = Number of times the cube landed on a 3 / Total number of rolls
Experimental P(3) = 10 / 30
Experimental P(3) = 1/3
Therefore, the theoretical probability of landing on a 3 is 1/6 and the experimental probability is 1/3.