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Mathematics 18 Online
OpenStudy (anonymous):

What is the probability of rolling a sum of 4 when rolling 2 dice? it is either 1/18 1/12 1/9 1/4 i am confused

OpenStudy (anonymous):

please explain also

OpenStudy (studygurl14):

Okay, so your first thing to do is find out how many different outcomes you can get from rolling two dice. How many sides are on one dice?

OpenStudy (studygurl14):

one die*

OpenStudy (anonymous):

does it count if you do 3+1 and 1+3

OpenStudy (anonymous):

i think it is 1/4

OpenStudy (studygurl14):

Yes, it does count if you do 3+1 and 1+3

OpenStudy (anonymous):

so that would come to 3/12

OpenStudy (anonymous):

right

OpenStudy (studygurl14):

No...

OpenStudy (studygurl14):

Let's go back to the first step. How many total outcomes can there be?

OpenStudy (anonymous):

i got 3

OpenStudy (anonymous):

1+3,3+1,2+2

OpenStudy (anonymous):

do you count 2+2 again or no

OpenStudy (studygurl14):

Yes.

OpenStudy (anonymous):

so then 4/12 then what is the next step

OpenStudy (studygurl14):

Okay, so you found the number of outcomes result in a sum of 4. That's good, because we're going to need that later. But what is the TOTAL number of outcomes that can come from rolling two dice?

OpenStudy (studygurl14):

No, not 4\12

OpenStudy (studygurl14):

There are 4 outcomes that will result in a sum of 4, but there are a lot more than 12 total outcomes

OpenStudy (studygurl14):

You have two dice, each with six sides. That means 6 x 6 total combinations (outcomes). What is 6 x 6?

OpenStudy (anonymous):

i don't think i am right but do you do 6*6

OpenStudy (anonymous):

okay i do got it right 4 /36 then simply

OpenStudy (anonymous):

so the answer is 1/9

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