SOLUTION: 2 dice were thrown together one time. What is the probability of throwing a 7 or a 10?

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Question 331655: 2 dice were thrown together one time.
What is the probability of throwing a 7 or a 10?
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.

There are 36 possible outcomes for a pair of dice. There are 6 ways to make a 7 and 3 ways to make a 10. Out of the 36 ways, you can consider 6 + 3 = 9 of them to be a success.

John

My calculator said it, I believe it, that settles it

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Here is the sample space. It contains 36 possible outcomes:

(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)

Now I will color the ones red which either add to 7 or 10:


(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 9 of them, so the probability of either
rolling a 7 or a 10 is 9%2F36 which reduces to 1%2F4.

Edwin