Ben rolls two number cubes. what is the probability that the sum of the numbers he rolls is less than 6

There are 6 faces on each dice and the total possible combinations possible = 6*6 = 36 combinations.

Of those 36 combinations, the combinations of sum less than 6  are:
1&1  2&1 3&1 4&1
1&2  2&2 3&2
1&3  2&3
1&4

Thus, 10/36 :-)

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)