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No. All of the permutations are equally likely, but the distinguishable combinations, and the permutations of the same sum are not. Take two dice, for instance. There are 36 permutations. The sums 2 and 12 each have only one permutation, so their probabilities are 1 in 36, each. The sum 7, however, has 6 permutations, 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, so the probability of a sum of 6 is 6 in 36, or 1 in 6.

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Q: When rolling dice are all the sums equally likely?
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How many odd sums can you get from rolling two dice?

There are 9 odd sums that you can get from rolling two dice.


What are the odds of getting a sum divisible by four by rolling 2 dice?

When rolling 2 dice there are 36 combinations that can occur. Sums will range from 2 to 12; sums divided by 4 are 4, 8, and 12 You can get this by dice combinations of 1 3 3 1 2 2 4 4 2 6 6 2 3 5 5 3 6 6 That is 9 ways. so odds are 9/36 = 1 in 4


When rolling two dice what is the probability of rolling a sum that is a multiple of 3?

The sums divisible by 3 are 3, 6, 9 and 12. These can be obtained in 2, 5, 4 and 1 ways respectively, giving 2 + 5 + 4 + 1 = 12 ways of success. There are 36 possible ways two dice can fall → probability = ways_of_success/possible_ways = 12/36 = 1/3.


What is the probability of rolling a sum of a 6 on two dice?

On two fair 6-sided dice: 5 out of 36 = 13.89%. Consider the two dice unique. Maybe one is black with white spots, and the other is white with black spots. There are 36 possible outcomes. You can make a table of the sums, and see that five of the outcomes have a sum of 6. Here they are:1+5, 2+4, 3+3, 4+2, 5+1


What is the probability of not rolling a sum of 2 4 or 6 with two fair dice?

There are 36 possible outcomes when throwing 2 dices : 6 for the first dice (1,2,3,...6) and 6 for the second dice Let say that in the sums below the first number is the result of the first dice and the second number is for the result of the second dice: 2 = 1 + 1: 1 possibility 4 = 2 + 2 = 1 + 3 = 3 + 1: 3 possibilities 6 = 1 + 5 = 5 + 1 = 2 + 4 = 4 + 2 = 3 +3: 5 possibilities 1 + 3 + 5 = 9 possibilities to get 2 or 4 or 6 So the probability to get a sum of 2 or 4 or 6 is 9/36=1/4 And the probabilty of NOT rolling a sum of 2 or 4 or 6 is 1-1/4=3/4

Related questions

How many odd sums can you get from rolling two dice?

There are 9 odd sums that you can get from rolling two dice.


How many even sums can you get from rolling two dice?

You can get 2, 4, 6, 8, 10, and 12, six even sums all together.


What is the expected value of rolling two dice?

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.


What are the odds of getting a sum divisible by four by rolling 2 dice?

When rolling 2 dice there are 36 combinations that can occur. Sums will range from 2 to 12; sums divided by 4 are 4, 8, and 12 You can get this by dice combinations of 1 3 3 1 2 2 4 4 2 6 6 2 3 5 5 3 6 6 That is 9 ways. so odds are 9/36 = 1 in 4


What are the most common sums of two dice when rolled?

5


When three dice are thrown what is the probability that the sum on three faces is less than 16?

There are 216 permutations of three dice. Of these, 206 have a sum that is less than 16, specifically, the permutations 466, 556, 565, 566, 646, 655, 656, 664, 665, and 666 have sums that are 16 or greater - all other permutations have sums that are less than 16. The probability, then, of rolling a sum less than 16 on three dice is 206 in 216, or about 0.9537.


When rolling two dice what is the probability of rolling a sum that is a multiple of 3?

The sums divisible by 3 are 3, 6, 9 and 12. These can be obtained in 2, 5, 4 and 1 ways respectively, giving 2 + 5 + 4 + 1 = 12 ways of success. There are 36 possible ways two dice can fall → probability = ways_of_success/possible_ways = 12/36 = 1/3.


How many different sums when you roll 3 dice?

216/3 = 72


What are the two least likely sums to be rolled on two regular dice Why?

12, because you can only get it one way: 6+6=12 And 2, because get it one way: 1+1=2.


What is the probability of rolling a sum of a 6 on two dice?

On two fair 6-sided dice: 5 out of 36 = 13.89%. Consider the two dice unique. Maybe one is black with white spots, and the other is white with black spots. There are 36 possible outcomes. You can make a table of the sums, and see that five of the outcomes have a sum of 6. Here they are:1+5, 2+4, 3+3, 4+2, 5+1


What is the probability of not rolling a sum of 2 4 or 6 with two fair dice?

There are 36 possible outcomes when throwing 2 dices : 6 for the first dice (1,2,3,...6) and 6 for the second dice Let say that in the sums below the first number is the result of the first dice and the second number is for the result of the second dice: 2 = 1 + 1: 1 possibility 4 = 2 + 2 = 1 + 3 = 3 + 1: 3 possibilities 6 = 1 + 5 = 5 + 1 = 2 + 4 = 4 + 2 = 3 +3: 5 possibilities 1 + 3 + 5 = 9 possibilities to get 2 or 4 or 6 So the probability to get a sum of 2 or 4 or 6 is 9/36=1/4 And the probabilty of NOT rolling a sum of 2 or 4 or 6 is 1-1/4=3/4


If you rolled two dice at the same time and summed the numbers what sums could you get?

Any number between 2 and 12.1+16+6