SOLUTION: two dice are rolled. find the probablility that the score on the dice is either 12 or at most 5.

Algebra ->  Probability-and-statistics -> SOLUTION: two dice are rolled. find the probablility that the score on the dice is either 12 or at most 5.      Log On


   

Question 303409: two dice are rolled. find the probablility that the score on the dice is either 12 or at most 5.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Two dice are rolled. Find the probablility that the
score on the dice is either 12 or at most 5.

Here is the sample space of all 36 possible rolls of
a pair of dice:

(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) (5,2) (6,3) (6,4) (6,5) (6,6)

Now I will color the ones red which are
either 12 or at most 5.
 
(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) (5,2) (6,3) (6,4) (6,5) (6,6)

Count the red ones.  There are 11.  That's 11 out of 36.  So

the probability is 11%2F36

Edwin