# Question: What is the probability of rolling a pair with 3 dice?

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Probability of all three dice the same = 1×1/6×1/6=1/36. Probability of no dice the same = 1×5/6×4/6=20/36. Probability of a pair = 1−1/36−20/36=15/36.

## What is the probability of rolling a 2 with 3 dice?

Two (6-sided) dice roll probability table

Roll a… Probability
2 1/36 (2.778%)
3 2/36 (5.556%)
4 3/36 (8.333%)
5 4/36 (11.111%)

## What is the probability of rolling a pair of dice?

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

Outcome Probability
9 4/36 = 11.11%
10 3/36 = 8.33%
11 2/36 = 5.56%
12 1/36 = 2.78%

## How do you calculate probability with 3 dice?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of 3: 1/216 = 0.5% Probability of a sum of 4: 3/216 = 1.4%

## What are the odds of rolling the same number with 3 dice?

The probability of getting the same number is 1/6. Throw the third die. The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.

## When 3 dice are rolled what is the probability of getting a sum of 8?

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.

## What is the probability of rolling 3 6’s in a row?

This seemed simple at first as the odds of rolling 1 six are 1/2, 2 sixes would be 1/14 and 3 sixes would be 1/216 so they would be our odds.

## What is a pair dice?

These are six-sided dice with sides numbered 2, 3, 3, 4, 4, 5 , which have the same arithmetic mean as a standard die (3.5 for a single die, 7 for a pair of dice), but have a narrower range of possible values (2 through 5 for one, 4 through 10 for a pair).

## When a pair of dice are rolled There are 36?

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). 6 x 6 = 36.

## How do you find the probability of two dice?

If you want to know how likely it is to get a certain total score from rolling two or more dice, it’s best to fall back on the simple rule: Probability = Number of desired outcomes ÷ Number of possible outcomes.

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## What is the probability of rolling a dice 3 times and getting a different number each time?

The probability that the number rolled on the third die is different from the first two dice is 4/6. Therefore, the probability that the three dice are all different on a single roll is 5/6 * 4/6 = 20/36 = 5/9.

## How do you calculate probability example?

For example, if the number of desired outcomes divided by the number of possible events is . 25, multiply the answer by 100 to get 25%. If you have the odds of a particular outcome in percent form, divide the percentage by 100 and then multiply it by the number of events to get the probability.

## What is the probability that there are exactly two dice results that appear exactly 3 3 times each?

So the probability is 4587521679616≈27.3%.

## What is the probability of rolling 3 six sided dice and getting a different number on each dice?

On rolling die 2 there are 5 chances in 6 that the number will be different, so 5/6. On rolling die 3, the chance of getting a number that is different from the other two should be 4/6.

## What is the probability that all three dice show different numbers?

Summary : If three dice are tossed, then the probability that the numbers shown will all be different is 5/9.