Question 455418:  Suppose you had a pair of dice. You know that if you roll the dice that occurs most often is 7. The sum that occurs the least is 2 and 12. Suppose you had a pair of dice where 4 is replaced by 7. So the numbers on both are 1,2,3,7, and 6. What sums can possibly occur? What sum occurs most often? 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Suppose you had a pair of dice. You know that if you roll the dice that occurs most often is 7. The sum that occurs the least is 2 and 12. Suppose you had a pair of dice where 4 is replaced by 7. So the numbers on both are 1,2,3,7, and 6. What sums can possibly occur? What sum occurs most often? 
---- 
Sketch the sample space, which is a 5 by 5 square 
with 1,2,3,7 on the left border and on the top. 
Calculate the 25 sums.  Then answer the questions 
posed above. 
-------------- 
Cheers, 
Stan H. 
========= 
  | 
 
  
 
 |   
 
 |