The probability of rolling the same number on five dice is (1/6)4, or about 0.0007716.
The least error prone way of doing this is to draw a 6x6 square of all the possiblities when rolling a pair of dice, where one is red and one blue, and work out the proportion of the combinations that sum to 7.
Of all the six numbers on a cube, only the '5' is not a factor of 12.Probability of rolling a factor of 12 on the first cube = 5/6 .Probability of rolling a factor of 12 on the second cube = 5/6 .Probability of rolling a factor of 12 on both cubes = (5/6 x 5/6 ) = 25/36 = 694/9 %.
Rolling 2 dice together can produce total scores from 2 (a 1 and a 1) to 12 a (6 and a 6) but there not all equally probable. You would score 6 with 1 + 5 or 5 + 1 or 2 + 4 or 4 + 2 or 3 + 3. Because there are 6 numbers on No. 1 dice and 6 numbers on No. 2 dice there are 6 x 6 = 36 ways of scoring. From the above you can see that your 5 possibilities out of 36 means that the probability is 5/36 = 0.138888(recurring decimal) = 13.89% correct to 2 decimal places.
The probability of rolling a number greater than 8 on one roll of a pair of dice is 0.277777.... Let's see how we get that probability, and, though it may be a little long winded, it's important to understand what's going on.With one roll of a pair of dice, we have 36 possible outcomes. They are 1-1, 1-2, 1-3,..., 6-4, 6-5, 6-6. To roll a number greater than 8, we have to roll a 9, 10, 11, or 12. There are 10 ways to roll one of those numbers. We could see 3-6, 4-5, 5-4, or 6-3 (to make 9), or 4-6, 5-5, or 6-4 (to make 10), or 5-6 or 6-5 (to make 11), or 6-6 to make 12. That's a total of 10 probable outcomes yielding a number greater than 8. As there are 36 possible outcomes, and 10 yield our required number, the odds of rolling a number greater than 8 are 10 in 36, or 5 in 18 (which is 10 divided by 36 reduced). To discover the probability of a number greater than 8, we need to divide the 10 by 36, and this gives us 0.277777.... as that probability.Note that the question asked for the probability of the given event, and not the odds. Probability is different from "the odds" of something happening when we consider the mathematics, and the two must be distunguished. We note that the odds "appear" when we calculte probability, but the two are different. There is one more idea.The probability of something happening is a number that is the ratio of the number of times that a given outcome will appear divided by the number of all possible outcomes. With dice, the number of all the combinations that can come up is 36. That means the probability of rolling any number is the number of times that the number can come up divided by all the possble combinations, or that 36.All probabilities range between zero (0) and one (1), inclusive. If something cannot happen, the probability of it happening is zero. Like rolling a 13 with one roll of the dice. If the probability of something happening, it will happen. Like rolling an odd or an even number with one roll of the dice. All the possible combinations are odd or even, so the probability of rolling an odd or an even number is one. You will get one or the other.
The probability of rolling the same number on five dice is (1/6)4, or about 0.0007716.
The probability of 3 specific dice rolls is the probability that each one will happen multiplied together. For instance, the probability of rolling 2 then 6 then 4 is the probability of all of these multiplied together: The probability of rolling 2 is 1/6. The probability of rolling 6 is 1/6. The probability of rolling 4 is 1/6. Multiply these together and we get the total probability as 1/216
The least error prone way of doing this is to draw a 6x6 square of all the possiblities when rolling a pair of dice, where one is red and one blue, and work out the proportion of the combinations that sum to 7.
The most probable result of rolling two dice is a sum of seven. The probability of rolling a seven is 1 in 6 or about 0.167.All of the other possible sums have decreasing probability, all the way down to 1 in 36 or about 0.0278 for a sum of two or a sum of 12.
Te probability of rolling a sum of 7 with two fair dice is 6 in 36, or 1 in 6, or about 0.1667.Of all the possible combinations of two dice, the sum of 7 has the highest probability, with the other combinations decreasing down to 2 and 12, with probabilities of 1 in 36, or about 0.0278.
It is 6!/66 = 720/66 = 0.0154 approx.
Assuming the sides are labelled one to twenty and that all sides are the same shsp and size and that the dice in not biased in any way, then there will be a 50% chance of getting an odd number.
1/6 times 1/6 times 1/6= 1/216 chance of getting a 4.
The probability of getting an even number on a six sided dice is 3 out of 6 or one half because the only even numbers are 2,4,6 (which are all even).
There are 36 permutations of two dice. Of these, six have a sum of seven. The probability, then, of rolling a seven on two dice is 6 in 36, or 1 in 6, or about 0.1667.It does not matter if two dice are rolled one time, or if one die is rolled two times. The probability of rolling a sum of 7 is still about 0.1667.The first thing to do is to identify all possible combinations which could give the sum of 7. These are: 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5, and 1 and 6.Thus there are 6 possible combinations.For each of these combinations, the probability of getting the 1st number correct is 1/6 and the probability of getting the second number correct is 1/6, and so the overall probability of the combination is 1/36There are 6 ways to get 7 though so 6x 1/36 = 1/6Which means the probability that 2 dice rolls will add up to 7 is 1/6
The probability that 14 is rolled at least once is 1 - 5.5*10-32 which, for all intents and purposes, can be treated as 1.
Of all the six numbers on a cube, only the '5' is not a factor of 12.Probability of rolling a factor of 12 on the first cube = 5/6 .Probability of rolling a factor of 12 on the second cube = 5/6 .Probability of rolling a factor of 12 on both cubes = (5/6 x 5/6 ) = 25/36 = 694/9 %.