# Quick Answer: When three standard six sided dice are rolled How many different ways can a sum of 16 be obtained?

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What is the probability that the sum is 16? 1 in 36. One way to do it is to write down all the ways to get 16: 6, 6, 4 and 6, 5, 5. Each of them can be rolled three ways, so it’s (3 + 3) / (6*6*6) = 6 / 216 = 1 / 36.

## When you roll three 6 sided dice the probability that they will sum to 10 is the same as the probability that they will sum to?

By similar logic, n(5) = 4, n(6) = 5, n(7) = 6, n(8) = 5, and n(9) = 4. Since the sum of n(i) for i from 4 to 9 equals 27, the probability of 3 rolls summing to 10 is 27/(6**3) = 27/216 = 1/8. Three dices-Total number of outcomes-6^3=216. I typed this up so that you can generally get the entire CDF of the function.

## When 3 dice are rolled find the probability of getting a sum of 16?

Probability that the sum is 16=6/6*6*6*=1/36.

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## What is the probability of getting a sum of 20 when rolling 3 fair six sided dice?

find the total number of possible outcomes with the dices which is 216…. now find the number of combinations that give a sum of 3,4,5,6…. it will be 1+3+6+10=20 and hence the probability is 20/216…

## What is the probability of getting the 1st 6 on the 4th roll using a six sided die?

There is a 5/6 probability that the first roll is not a 6. In that case, we need to see if the second roll is a 6. The probability of the second roll being a 6 is 1/6, so our overall probability is 1/6 + (5/6)*(1/6) = 11/36.

## What is the probability of 3 dice?

Two (6-sided) dice roll probability table

Roll a… Probability
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)

## What is the probability that the sum is 8?

Probabilities for the two dice

Total Number of combinations Probability
7 6 16.67%
8 5 13.89%
9 4 11.11%
10 3 8.33%

## What is the probability of getting a sum of 8 in rolling a dice once?

Probabilities for the two dice

Total Number of combinations Probability
6 5 13.89%
7 6 16.67%
8 5 13.89%
9 4 11.11%

## What is the probability that you roll at least one 3 in your dice?

The probability of rolling at least one 3 is 1–25/36=11/36, a bit less than 1/3.

## How many ways can a sum of 16 be obtained?

Now count all the squares which contain 16 and it should be six of them. Therefore the probability of getting a total of 16 will be 6/216 or 1/36. The set of all possibilities for three six- sided dice numbered 1–6 is 216 . P(16) = # ways to get 16 / set of all possibilities.

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