Because we are only modeling one event, all six outcomes of the die are equally possible. The probability of rolling a four (or, for that matter, any number) is 1/6, or .166666 repeating. Now, since we are modeling 120 rolls, the theoretical number of outcomes of four (or, again, any number) is 1/6 * 120 = 20 outcomes. The second sentence of the problem is unnecessary.
The probability of rolling an odd number on a standard die is 3 in 6, or 1 in 2, or 0.5.
The probability of rolling a 7 at any time on a single die is zero.
The probability of rolling a four on an eight sided octahedron is 1 in 8, or 0.125.
1/6= 2 because there is only one 2. Therefore the theoretical probability of not rolling a two is the same as everything but two so 5/6.
It depends on how the six sides are numbered. In a standard die, it is zero percent.
1/3
5 out of 6 or 83.333%
The probability of rolling an odd number on a standard die is 3 in 6, or 1 in 2, or 0.5.
Its 16.667% or 16 1/3%
1 in 6. Wow.
The theoretical probability of rolling a 5 on a standard six sided die is one in six. It does not matter how many times you roll it, however, if you roll it 300 times, the theoretical probability is that you would roll a 5 fifty times.
The probability of rolling a 7 at any time on a single die is zero.
1/3
1 out of 2 or 0.5.
The probability of rolling a four on an eight sided octahedron is 1 in 8, or 0.125.
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling a 3 is 1 in 6, or about 0.1667, but the experimental probability changes every time you run the experiment