How many possible combinations are for only the EVEN numbers in rolling 3 dice in random regular 6 sided dice?

Answer 1

Here are three possible interpretations of the question, with answers:

A) How many combinations are possible when when rolling three identical regular dice simultaneously, if all the dice show an even number?

Answer: 10 (Originally given by Mehta matics)

... (2,2,2) -> 6

... (2,2,4) -> 8

... (2,2,6), (2,4,4) -> 10

... (2,4,6), (4,4,4) -> 12

... (2,6,6), 4,4,6) -> 14

... (4,6,6) -> 16

... (6,6,6)-> 18

B) How many combinations result in an even total when rolling three identical regular dice simultaneously?

Answer:28

... The totals must be between 3 and 18 inclusive.

... sum of 4: (1,1,2)

... sum of 6: (1,1,4), (1,2,3), (2,2,2)

... sum of 8: (1,1,6), (1,2,5), (1,3,4), (2,2,4), (2,3,3)

... sum of 10: (1,3,6), (1,4,5), (2,2,6), (2,3,5), (2,4,4), (3,3,4)

... sum of 12: (1,5,6), (2,4,6), (2,5,5), (3,3,6), (3,4,5), (4,4,4)

... sum of 14: (2,6,6), (3,5,6), (4,4,6), (4,5,5,)

... sum of 16: (4,6,6), (5,5,6)

... sum of 18: (6,6,6), for a total of 1+3+5+6+6+4+2+1 =28 combinations.

C) When rolling three regular dice, how many even totals are possible?

Answer: 8

... 4, 6, 8, 10, 12, 14, 16, 18.