Question

Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube numbered 1 to 6. He rolls the number cube 8 times and records the results in this table.
4 2 5 3
5 6 1 4

Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.

Actually happened
we expect to happen
1/3
1/4
1/6

The theoretical probability of rolling a number smaller than a 3 is _______because this is what_______ . The experimental probability of rolling a number smaller than a 3 is ______ because this is what_______ .

Answer 1

Answer:

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____

Step-by-step explanation:

The experimental probability is

P (<3) = (  getting a one or 2)/ number of times that he rolled

        He rolled a one or a two 2 times of the 8 times rolled

          = 2/8 = 1/4

Theoretical probability is what we expect  happen

P (<3) = (getting a one or two) / 6

         = 2/6 = 1/3

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____