###### Asked in Math and ArithmeticStatisticsProbability

Math and Arithmetic

Statistics

Probability

# What is the probability that the sum of the dice is less than 6 and one die shows a 3?

## Answer

###### Wiki User

###### May 13, 2012 1:05PM

The probability that the sum of two dice rolled is less than 6 when one die comes out

3 is **2/6 = 1/3**, since there are only two outcomes that
the second die has so the sum turns out less than 6. these are (2)
and (1), each with the probability of occurring of 1/6.

## Related Questions

###### Asked in Probability, Math and Arithmetic, Statistics

### If two dice are rolled what is the probability of getting s sum less than 3?

The only number less than 3 that you can get with two dice is 2.
The probability of getting a 2 is 1/36.
The only number less than 3 that you can get with two dice is 2.
The probability of getting a 2 is 1/36.
The only number less than 3 that you can get with two dice is 2.
The probability of getting a 2 is 1/36.
The only number less than 3 that you can get with two dice is 2.
The probability of getting a 2 is 1/36.

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the probability that the sum of the dice is less than five and one shows a 2?

If the sum of two dice is less than 5, and one die shows 2, then
the other die must be less than 3, i.e. 1 or 2. The probability of
rolling less than 3 on one die is 2 in 6, or 1 in 3, or about
0.3333.
The other die does not enter into the calculation because its
value is already known, as stated in the question.

###### Asked in Math and Arithmetic, Statistics, Probability

### When three dice are thrown what is the probability that the sum on three faces is less than 16?

There are 216 permutations of three dice. Of these, 206 have a
sum that is less than 16, specifically, the permutations 466, 556,
565, 566, 646, 655, 656, 664, 665, and 666 have sums that are 16 or
greater - all other permutations have sums that are less than 16.
The probability, then, of rolling a sum less than 16 on three dice
is 206 in 216, or about 0.9537.

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the probability of getting less than 10 when you roll a dice?

A die normally has six sides with the numbers 1 to 6 on them, so
any roll will be less than 10 and thus the probability of getting
less than 10 with a die is 1.
With two normal dice, the sum of the digits on the dice added
together ranges from 2 to 12 and the probability of getting less
than 10 is the same as 1 minus the probability of getting 10 or
more.
There are 36 ways the two dice can fall and 10 can be achieved
in 3 ways (4&6, 5&5, 6&4), 11 can be achieved in 2 ways
(5&6, 6&5) and 12 in 1 way (6&6).
Thus the probability of getting 10 or more with 2 dice is
(3+2+1)/36 = 6/36 = 1/6
So the probability of getting less than 10 is 1-1/6 = 5/6

###### Asked in Math and Arithmetic

### What is the probability of getting a number less than 5 on all cubes if you roll 5 of them?

Assuming the 5 cubes are standard, unbiased dice with the
numbers 1-6 on the faces:
There are 4 numbers {1, 2, 3, 4} which are less than 5.
Each has a probability of 1/6 of appearing on 1 die, thus each
die has a probability of 4 × 1/6 = 4/6 = 2/3 of showing a number
less than 5
→ probability of all 5 dice showing a number less than five =
(2/3)⁵ = 32/243 ≈ 0.132 = 13.2 %