I have two standard, six-sided dice, one is brown, and the other is black. I roll them both. What is the probabilty that the sum of the number that I roll is less than 3?
The only way to get a sum less than 3 is to get a 1 on each of the two dice.
The probability of getting a 1 on the brown die is 1/6.
Similarly, the probability of getting a 1 on the black die is 1/6.
To find the final probability, multiply these two probabilities together: 1/6 x 1/6 = 1/36.
Since you have two six-sided die, you have 2 sets of 1-6.
Set 1: 1,2,3,4,5,6
Set 2: 1,2,3,4,5,6
Now, we need to find out how many items in the sets add up to equal a sum less than 4.
1 + 1 = 2
2 + 1 = 3
We can roll a 1 and a 1 with a 1/6 chance each.
We can also roll a 1 and a 2 with a 1/6 chance as well.
So, to get the final probability, we would multiply the two fraction together.
1/6 x 1/6 = 1/36
There is a 1/36 chance that the sum of the numbers you roll will be less than 4.