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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?

 Dec 15, 2021
 #1
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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.

 Dec 16, 2021
 #2
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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.

 

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 Dec 16, 2021

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