i hate this place
50% chance
What is the probability of rolling a 6 the first time and a 1 the second time
There are two possibilities for rolling three once, so the probability of this even is 2/36 or 1/18. Since each roll is an independent event, the total probability is: P(rolling three three times) = (1/18)3 = 1/5832
10/3
The probability of rolling the same number six times on a standard die is (1 in 6)5 or 1 in 7776, or about 0.0001286. The reason the exponent above is five instead of six is that the probability of rolling "some" number on one die is 1, so you need to look at the probability of the other five dice matching the first die. It would not matter if you rolled one die six times, or six dice one time. The odds are the same.
50% chance
What is the probability of rolling a 6 the first time and a 1 the second time
There are two possibilities for rolling three once, so the probability of this even is 2/36 or 1/18. Since each roll is an independent event, the total probability is: P(rolling three three times) = (1/18)3 = 1/5832
2/12 or 1/6
the chances of rolling doubles once is 1 in 6; 3 times in a row it is 1 in 216. It does not make any difference after how many times you rolled the dice before.
10/3
The probability of rolling a 7 at any time on a single die is zero.
The probability of rolling the same number six times on a standard die is (1 in 6)5 or 1 in 7776, or about 0.0001286. The reason the exponent above is five instead of six is that the probability of rolling "some" number on one die is 1, so you need to look at the probability of the other five dice matching the first die. It would not matter if you rolled one die six times, or six dice one time. The odds are the same.
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
Each time you toss the die the probability of rolling an even number is 3 out of 6 or 1/2. So, the probability of tossing three consecutive even numbers is (1/2)3 = 1/8 = 0.125, which is one chance in eight.
1/6
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 an even number is 3 in 6, or 1 in 2, or 0.5, but the experimental probability changes every time you run the experiment.