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

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## What is the probability of rolling a 4 on a standard 6 sided die?

6 Sided Dice probability (worked example for two dice).

Two (6-sided) dice roll probability table.

Roll a… Probability
4 3/36 (8.333%)
5 4/36 (11.111%)
6 5/36 (13.889%)
7 6/36 (16.667%)

## What is the probability of rolling a 4 on a 4 sided dice?

Edited: You can’t roll 0 on a four sided die, and the distribution of the outcomes are different. To take the extreme example: With one die you have a 25% chance to have an outcome of 4. With four dice, you need to succeed at a 25% chance to roll a 1 four separate times, or (1/4)4 , which is about 0.4%.

## When a standard pair of six sided dice are rolled what is the probability of getting a 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.

## How do I calculate probability?

Divide the number of events by the number of possible outcomes.

1. Determine a single event with a single outcome. …
2. Identify the total number of outcomes that can occur. …
3. Divide the number of events by the number of possible outcomes. …
4. Determine each event you will calculate. …
5. Calculate the probability of each event.

## What is the probability that you will roll a sum of six?

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%

## What is the probability you roll a sum of 5?

To find the probability determine the number of successful outcomes divided by the number of possible outcomes overall. Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.