1/3
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.
When rolling a die, a 1, or a 2, or a 3, or a 4, or a 5, or a 6 will come up. Factors of six are 1, 2, 3 and 6. This leaves 4 and 5 that are not factors of 6. The probability of rolling any one number in one roll of the die is 1 in 6, or 1/6. To find a "cumulative" probability where we "combine" the odds of rolling several numbers, as is the case here, we simply add the probability of rolling each number together and sum them.In the case here, the probability of rolling 1 is 1/6, and the probability of rolling 2 is also 1/6, and the probability of rolling 3 is 1/6 and the probability of rolloing 6 is 1/6. We add 1/6 + 1/6 + 1/6 + 1/6 and get 1+1+1+1/6, which is 4/6. The 4/6 reduces to 2/3, and that 2/3 represents the probability of rolling a factor of 6 with one roll of a die. There is one more little thing.Probability is a mathematical term where "odds" are expressed on a scale of zero (0) to one (1). The probability of something happening is either 0, or 1, or something in between. If the probability of something happening is 100% (which is to say that somehting must occur), then the probability is 1. And if something cannot happen, then the probability of it occurring is 0. In this light, the 2/3 chance of rolling a factor of 6 with one roll of a die is 0.6666....
assuming a single six sided die the probability of rolling a three is 1/6
The probability of rolling a 4 in a die is 1 in 6, or about 0.1667. The probability, then, of rolling a 4 in at least one of two dice rolls is twice that, or 2 in 6, or 0.3333. The probability of rolling a sum of 4 in two dice is 3 in 36, or 1 in 18, or about 0.05556.
1/6,3/6 ----------------------------------------------------------------------------------------------------- The probability of rolling a 2 is: P(2) = 1/6 The probability of rolling an even number is: P(even) = 1/2 The result on the second roll is independent of the result in the first roll. The probability of rolling a 2 and then rolling an even number is: P(2,even no.) = (1/6) ∙ (1/2) = 1/12 = 0.08333... ≈ 8.33%
1/3
Its 16.667% or 16 1/3%
The probability of rolling an odd number on a standard die is 3 in 6, or 1 in 2, or 0.5.
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
The theoretical probability of rolling something other than a factor of 6 in one roll is 2/6 or 1/3. So, the probability of rolling something other than a factor of 6 in 100 rolls is (1/3)^100 = 1.94*10-48 And therefore.the probability of rolling a factor of 6 is 1 - Prob(not a factor) = 1 - 1.94*10-48 which is incredibly close to 1.
The probability of rolling the 3 is (1/6).The probability of rolling the 1 is (1/6).The probability of rolling the 3 and then the 1 is (1/6) x (1/6) = (1/36) = about 2.78% (rounded)
It is 4/6 = 2/3
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 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.
-- There are (6 x 6) = 36 possible rolls for a fair pair of 6-sided dice.-- There are 6 ways to roll a sum of 7 :1 ... 62 ... 53 ... 44 ... 35 ... 26 ... 1-- So the probability is 6/36 = 1/6 = 162/3 % .-- The probability is the probability, not the 'theoretical' probability.
On a normal 6 sided dice the probability of rolling any number is 1/6.When we want a 3 AND then a 4 we multiply the probabilities together.So P(3 then 4) = 1/6 x 1/6 = 1/36
The probability of rolling a 3 is 1/6.