Probability

Explanation:

There are 36 possible outcomes in rolling two six-sided cubes.

Of those 36 possibilities, five of them result in a sum of 6.

1+5:   2+4:   3+3:   4+2:   5+1

(1+5) is different from (5+1) use two different colors of dice such as black and white to make this obvious)

5 = the number of possibilities of getting a six.

36 = the total number of possibilities (6×6=36)

So the probability is 5/36

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places    

Here are all the possible rolls.  

1,1   1,2   1,3   1,4   1,5   1,6  

2,1   2,2   2,3   2,4   2,5   2,6  

3,1   3,2   3,3   3,4   3,5   3,6  

4,1   4,2   4,3   4,4   4,5   4,6  

5,1   5,2   5,3   5,4   5,5   5,6  

6,1   6,2   6,3   6,4   6,5   6,6

How many ways to total 11 ....  count them, there are 2  

How many possible rolls ........  count them, there are 36  

The likelihood of rolling an 11 is 2 out of 36, or in decimal form to three places, 0.056    

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