SOLUTION: If you rolled a pair of fair dice 450 times, about how many times would you expect the sum of 8 to appear?

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Question 695912: If you rolled a pair of fair dice 450 times, about how many times would you expect the sum of 8 to appear?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Below are all 36 possible rolls.  The 5 of them that total 8
are in red.  So we should expect the 5%2F36ths of the
rolls should total 8.  So the answer is 5%2F36ths of 450,
That's 62.5 rolls.  Of course you will never expect to ever
have "half a roll". What that means is if you rolled them
490 times each day for a year, you would expect the average
number of rolls totaling 8 to be 62.5. 

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



Edwin