SOLUTION: 1. Two fair dice is rolled once. What is the probability that the sum of the outcomes equal exactly 7?

Question 1049337: 1. Two fair dice is rolled once. What is the probability that the sum of the outcomes equal exactly 7?

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Here are all possible dice rolls with the
ones that have sum exactly 7 colored red:

(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)

Count the red ones.  There are 6 of them.
Count all of them.  There are 36 of them.

So the probability is 6 out of 36 or 6/36 
which reduces to 1/6.

Edwin

RELATED QUESTIONS
When two fair dice are rolled, the sum of the two dice can be any number from 2 through... (answered by jmg,stanbon)

Two fair six-sided dice are rolled. What is the probability that the sum of the... (answered by Boreal)

When two fair six-sided dice are rolled, there are 36 possible outcomes. Find the... (answered by Fombitz)

Holly rolls two fair dice. What is the probability that the sum of the numbers rolled is... (answered by stanbon)

If two fair dice are rolled, find the probability that the sum of the dice is 7, given... (answered by Edwin McCravy)

If two fair dice are rolled, find the probability that the sum of the dice is 8,... (answered by ikleyn)

Suppose a pair of fair dice is rolled once. Find the probability of rolling: what is... (answered by jim_thompson5910)

Two fair dice are rolled. what is the probability that the sum of the faces is less then... (answered by stanbon)

Two fair 6 sided dice are rolled. What is the probability that the sum of the two numbers (answered by solve_for_x)