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I have 2 standard, 6-sided dice; one is brown, and the other is black. I roll them both. What is the probability that the sum of the numbers that I roll is less than 4?

 May 22, 2021
 #1
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Sum = 2: 1,1

 

Sum = 3: 1,2 or 2,1

 

Total: 36

 

So 3/36 or 1/12

 May 22, 2021
 #2
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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.

Guest May 23, 2021

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