SOLUTION: two dice are thrown twice,write sample space and find the probabilityof getting sum of : (a)5,(b)less than 8 ,(c)sum greater than 12,(d)sum greater than 7?

Question 847523: two dice are thrown twice,write sample space and find the probabilityof getting sum of : (a)5,(b)less than 8 ,(c)sum greater than 12,(d)sum greater than 7?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
The sample size for all of these is 36.
I suggest making a table to help illustrate all these probabilities
1 2 3 4 5 6
-----------
1|2 3 4 5 6 7
2|3 4 5 6 7 8
3|4 5 6 7 8 9
4|5 6 7 8 9 10
5|6 7 8 9 10 11
6|7 8 9 10 11 12

Now we answer the following questions.:
a) sum of 5. We notice there are 4 entries that result in a sum of 5. So 4/36 or 1/9.
b) less than 8. There are 21 entries in the table that have less than 8. So 21/36 or 7/12
c) greater than 12. Impossible. 0
d) greater than 7. There are 10 entries in the table that have greater than 7. so 10/36 or 5/18.

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