There is a dice having value from 1 to 6 on each face and a pack of cards having face card aces When 2 dices are thrown and their scores are added then which sum will come max number of times?

It will be seven, the most likely score when throwing two normal dice. This is because there more combinations possible for seven than any other score. For example, scoring a total of 12 or 2 are the least likely as only one combination will give these, two 1's or two sixes, out of the 36 possible combinations. There are six ways of achieving 7 though, so six chances in 36, or a 1 in 6 chance. The cards don't really come into the problem, maybe this is a red herring.