# Frequent question: How many ways can you get an odd sum when two distinguishable dice are rolled?

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## What is the probability of rolling an odd sum with two dice?

It means a roll of any value, the probability equal 1/6. Each die has 3 even values {2,4,6} and 3 odd values {1,3,5}. This means that we need one die to be odd and the other to be even in order for the sum of the two dice to be odd.

## How many ways can we get an even sum when two distinguishable dice are rolled?

Out of 36 possible rolls, the ones that the sum of the dice is even are those in which both dice are either even or odd. There are 3 odd numbers on the first die, and for each of these, there are 3 odds on the second – resulting in 9 possible odd/odd combinations. Similarly, there are 9 ways to get both even numbers.

## When you roll 2 dice How many different combinations are possible to get?

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).

## What is the probability of getting an even sum when two dice are thrown?

Thus, we have P(even sum)=1/2(P(first was even)+P(first was odd))=1/2(1)=1/2.

## What is the probability of rolling two dice and getting an even number?

The probability of rolling an even number on a fair, six-sided die is 3/6 = 1/2, which results from three of the six possibilities of {1, 2, 3, 4, 5, 6} being even numbers.

## How many outcomes are possible in case of throwing two dice?

We know that in a single thrown of two different dice, the total number of possible outcomes is (6 × 6) = 36.

## When 2 dice are rolled find the probability of getting?

Probabilities for the two dice

Total Number of combinations Probability
10 3 8.33%
11 2 5.56%
12 1 2.78%
Total 36 100%

## When K distinguishable dice are thrown in how many ways can they fall?

Of the 36 possibilities (when the dice are distinguishable) 6 are pairs of one number (1 plus 1, etc.). That leaves 30 where the dice have different numbers, so there are 30/2 = 15 possible results (when the numbers are different) if we do not distinguish one die from the other.