# How many ways are there of getting a sum of 10 on a single toss of three standard dice?

Contents

The total outcomes of rolling 3 dice is 216. There are only 18 combinations that will give a sum of 10. The combinations are (1,3,6), (1,6,3), (3,1,6), (3,6,1), (6,3,1), (6,1,3), (5,4,1), (5,1,4), (4,5,1), (4,1,5), (1,4,5), (1,5,4), (5,3,2), (5,2,3), (2,5,3), (2,3,5), (3,2,5), (3,5,2).

## What is the probability of getting a sum of 10 on a throw of two dice?

When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.

IT IS SURPRISING:  Frequent question: Does turning up the volume on a slot machine increase your odds?

## What is the probability of getting a sum of 10 in rolling three dice?

Probability of a sum of 10: 27/216 = 12.5%

## How many different sums are possible with 10 dice?

What are the most likely outcomes from rolling a pair of dice?

Outcome List of Combinations Total
8 2+6, 3+5, 4+4, 5+3, 6+2 5
9 3+6, 4+5, 5+4, 6+3 4
10 4+6, 5+5, 6+4 3
11 5+6, 6+5 2

## When rolling a pair of dice What is the probability that the sum on the dice will be 7 in three consecutive rolls?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

## How many ways can a sum of 2 or a sum of 10 be rolled with a pair of standard dice?

Explanation: If you roll two dice, there are 6×6=36 possible outcomes.

## What is the probability of rolling a sum of 10 on a standard pair of six sided dice?

In order to have the sum be 10, the each die can be no less than 4, and in fact there are 3 possible combinations: 4–6, 5–5, and 6–4. That’s 3 out of 36 possibilities, so the odds of rolling a 10 is 3/36, or 1/12, which is 8.333%.

## What is the probability of rolling a sum of 8?

There are 36 outcomes in total. Five of them (2,6), (3,5), (4,4), (5,3) and (6,2) result in sum 8. So, assuming all outcomes are equiprobable, the answer is 5/36.

## What is the probability of having 10?

Two (6-sided) dice roll probability table

Roll a… Probability
8 5/36 (13.889%)
9 4/36 (11.111%)
10 3/36 (8.333%)
11 2/36 (5.556%)

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

The total number of ways to roll an 8 with 3 dice is therefore 21, and the probability of rolling an 8 is 21/216, which is less than 5/36.

## When a pair of dice is rolled in how many ways can the sum of the two numbers be 7?

Explanation: When two dices are rolled, there are six possibilities of rolling a sum of 7 .

## How many sums does 2 dice have?

Note that there are 36 possibilities for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## How many ways can dice fall?

When you roll just one die, there are six different ways the die can land. When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six).

## How many ways are there to roll a sum of 7 or 11 on two dice?

Therefore, the probability that the sum of the numbers showing is 7 or 11 is . If two fair dices are rolled there are 36 possible outcomes: As shown above, there are 8 possible outcomes where the sum is 7 or 11.

IT IS SURPRISING:  How low are the chances of winning the lottery?

## How many ways can two dice be rolled such that their sum is not more than 11?

Explanation: If 2 dice are thrown, there are 6×6=36 outcomes. There is only one way to get a total of 12. Therefore of the 36 possible outcomes there are 3 that do not meet the requirement of being less than 11.

## How many ways can you roll a pair of dice and get an even product?

The definition of an even number is 2k and for odd 2k+1 . We know that a dice has 6 sides and when there are 2 there is a possible of 62=36 outcomes.