Answer: [tex]\dfrac{2}{3}[/tex]
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 :
[tex]\dfrac{24}{36}=\dfrac{2}{3}[/tex]
