# What is the probability of getting at most the sum of 3 in casting a pair of dice?

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## What is the probability of rolling a sum of 3?

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 is the probability of getting a total of 3 on a roll of a pair of dice?

Two (6-sided) dice roll probability table

Roll a… Probability
2 1/36 (2.778%)
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)

## What is the probability of getting a sum of 3 while 2 dice are rolled?

Total number of outcomes on rolling 2 dice = 6^2 = 36. 1) There are only 2 different ways of getting a sum of 3. 1 + 2 = 3. 2 + 1 = 3.

## What is the probability of you rolling a sum of 7?

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.

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## What is the probability of flipping tails and rolling a six?

Step-by-step explanation:

: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

## How many combinations can 2 dice make?

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 not rolling a sum of 3 with two fair dice?

To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of 1/18. 3.