John rolls a pair of six-sided number cubes. what is the probability that the sum of the numbers on the number cubes is either a multiple of 3 or an odd number?

Step-by-step explanation:

When we roll a pair of dice, the total number of outcomes = 36

The outcomes having the sum of the numbers on the number cubes is either a multiple of 3 or an odd number = (1,2), (2,1), (1,4), (4,1), (1,5), (5,1), (1,6), (6,1), (2,3), (3,2), (2,4), (4,2), (2,5), (5,2), (3,3), (3,4), (4,3), (3,6), (6,3), (4,5), (5,4), (5,6), (6,5), (6,6).

Therefore, the number of favorable outcomes = 24

Now, the probability that the sum of the numbers on the number cubes is either a multiple of 3 or an odd number :

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square