# Question: How many ways can two dice be rolled such that their sum is between 6 and 10?

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## How many ways can two dice be rolled such that their sum is between 5 and 10 exclusive )?

The number of ways of getting a sum of 10 is (6, 4), (4, 6), (5, 5). A sum of 10 is obtained 3 times. The number of ways in which either a sum of 5 or 10 can be got is the sum of the individual values for 5 and 10 or 4 + 3 = 7.

## What is the probability of rolling two dice and getting a sum of 10?

When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.

## How many ways can 2 dice fall?

How many total combinations are possible from rolling two 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 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%
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## When 2 dice are rolled find the probability of getting a sum less than 11?

Two (6-sided) dice roll probability table

Roll a… Probability
9 4/36 (11.111%)
10 3/36 (8.333%)
11 2/36 (5.556%)
12 1/36 (2.778%)

## What is the probability that the sum is 6?

Probability of getting a total of 6 = 5/36.

## What is the probability of rolling two six sided dice and getting 6 and 6?

There is only one way to roll two 6’s on a pair of dice: the first die must be a 6 and the second die must be a 6. The probability is 1/6 × 1/6 = 1/36.