well its all 50% no matter what
Theoretical is 50% Heads, 50% tails: 30-Heads, 30-Tails (theoretical)
If you roll a fair six-sided die 1000 times the die would come up even about 500 times. It will not be exactly 500 times, due to random probability, but it will be close. The more times you roll it, the ratio of even to odd will come closer and closer to the theoretical probability of 0.5.
The difference between experimental probability and theoretical probability is that experimental probability is the probability determined in practice. Theoretical probability is the probability that should happen. For example, the theoretical probability of getting any single number on a number cube is one sixth. But maybe you roll it twice and get a four both times. That would be an example of experimental probability.
Assuming a standard unbiased 6-sided die: The probability of 5 or 3 = 2/6 = 1/3 → The expectation when it is rolled 260 times is 260 × 1/3 = 86 2/3 → You would expect to see a 5 or 3 about 87 times when rolling a die 260 times
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 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.
Theoretical probability is the probability of something occurring when the math is done out on paper or 'in theory' such as the chance of rolling a six sided dice and getting a 2 is 1/6. Experimental probability is what actually occurs during an experiment trying to determine the probability of something. If a six sided dice is rolled ten times and the results are as follows 5,2,6,2,5,3,1,4,6,1 then the probability of rolling a 2 is 1/3. The law of large numbers states the more a probability experiment is preformed the closer to the theoretical probability the results will be.
It is approx 0.99989, that is, a near certainty.
-78
It is 0.1962
It is 0.99999406 approx, or pretty nearly a certainty.
If you rolled a die 120 times, the probability of getting a 6 is one in six. It does not matter how many times you roll the die - the probability is still one in six - except that the long term mean will approach the theoretical value of 0.166... as the number of trials increases.
As the number of times that the experiment is conducted increases, the experimental probability will near the theoretical probability - unless there is a problem with the theoretical model.
1/4? ...
A number cube is a six sided figure so I'm going to go with 0%
P(1or2)=2/6=1/3 P(4<=x<=6)=2/3 when rolled 15 times (2/3)^15=.0023
1/6 x 1/6 x 1/6 = 1/216