A number cube is rolled many times with the results shown in the table below.

Number Rolled 1 2 3 4 5 6

Number of Rolls 13 12 12 14 11 18

The theoretical and experiment probabilities for rolling a 2 are [close together, the same, not close together].

The experimental probability is the number of two rolled divided by the total number of rolls ...

12 / (13+12+12+14+11+18)

12/80

3/20 (15%)

The theoretical is simply the number of twos on the die divided by the total number of numbers on the die ...

There is 1 two and 6 total numbers so:

1/6 (16 2/3 %)

No one specified what the definition of "close" is, but I would say a 1 2/3 percent difference is significant if you are going to have many trials ...

100 (3/20-1/6) / (1/6)

600 (9-10) / 60=-10%

So the experimental probability will wind up predicting 10% less occurrences than the theoretical probability would. That can be quite a difference for a large number of trials. The larger the sample the closer you get to the theoretical probability.