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) = Response area

Experimental P(3) = Response area

1 answer

The theoretical probability of landing on a 3 when rolling a six-sided number cube is 1/6, since there are 6 equally likely outcomes and only one of them is a 3.

The experimental probability of landing on a 3 can be calculated by dividing the number of times a 3 was rolled (10 times) by the total number of rolls (30 times):

Experimental P(3) = 10/30 = 1/3

Therefore, the theoretical probability of landing on a 3 is 1/6 and the experimental probability is 1/3.