# How many different sums are possible with 3 dice?

Contents

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice.

## What values are possible for the total sum of the three dice?

so there are 63=216 possible outcomes.

## How many different sums of dice numbers can we get by throwing 3 standard game dice at the same time?

Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.

## How many sums are on a dice?

Since each die has 6 values, there are 6∗6=36 6 ∗ 6 = 36 total combinations we could get. If you add up the numbers in the total column above, you’ll get 36.

## When three dice are rolled the number of possible cases?

Total Number of possibilities=1×5×5×3C1=75.

## What is the probability of rolling a 3 or 5?

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%)
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## How many different sums can you get from rolling two dice?

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 you roll a 7 with 3 dice?

This gives 15 distinct ways of obtaining a total of 7. There are 216 possible outcomes when rolling three dice. Originally Answered: If we roll 3 dice, what is the probability that the sum is 7?

## What is the probability of getting a 6 on two dice?

Probabilities for the two dice

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