The experimental probability can't be predicted. If it could, then there wouldn't be
any reason to do experiments.
The probability of rolling a die 50 times depends on how passionately you want to
see what's going to happen if you do.
There are six different ways a single die can come up on each roll. So the probability of
rolling any particular number between 1 and 6 on each roll is 1/6 or (16 and 2/3) percent.
If it isn't, then the die isn't a fair die.
The die has no memory, so the probability of any particular number is the same on every roll,
even if the same number has or hasn't come up on the previous 100 or 1,000 consecutive
rolls. If the probability of any outcome depends on what has come before, then the laws
of probability aren't operating, and it's not an honest game.
The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.
The probability is: 1/6 times 1/6 = 1/36
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.
Theoretical probability = 0.5 Experimental probability = 20% more = 0.6 In 50 tosses, that would imply 30 heads.
Experimental probability is the number of times some particular outcome occurred divided by the number of trials conducted. For instance, if you threw a coin ten times and got heads seven times, you could say that the experimental probability of heads was 0.7. Contrast this with theoretical probability, which is the (infinitely) long term probability that something will happen a certain way. The theoretical probability of throwing heads on a fair coin, for instance, is 0.5, but the experimental probability will only come close to that if you conduct a large number of trials.
The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.
It is 60/100 = 0.6
1/2
The probability is: 1/6 times 1/6 = 1/36
1/6
The probability is approx 0.1608
To find the experimental probability of an event you carry out an experiment or trial a very large number of times. The experimental probability is the proportion of these in which the event occurs.
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.
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.
One way of finding the probability is to carry out an experiment repeatedly. Then the estimated experimental probability is the proportion of the total number of repeated trials in which the desired outcome occurs.Suppose, for example you have a loaded die and want to find the probability of rolling a six. You roll it again and again keeping a count of the total number of rolls (n) and the number of rolls which resulted in a six, x. The estimated experimental probability of rolling a six is x/n.
The probability of getting a sum of 2 at least once is 0.8155
The experimental probability of rolling a 3 or a 4 on a number cube cannot be stated here, because it depends on the actual results of a set of trials, results which will vary for each set of trials.Roll a die 10 times and see what you get. Do it another 10 times, and you should see different results.The theoretical probability, however, is well known - it is 2 in 6, or 1 in 3, or about 0.3333.