Final answer:
The odds against getting two numbers greater than 4 when rolling two number cubes is 8:1.
Step-by-step explanation:
To find the odds against getting two numbers greater than 4 when rolling two number cubes, we first need to determine the total number of possible outcomes. Each number cube has 6 faces, so there are 6 possible outcomes for each cube. Since we are rolling two cubes, the total number of possible outcomes is 6 x 6 = 36.
Next, we need to determine the number of favorable outcomes, which are the outcomes where both numbers rolled are greater than 4. There are 2 numbers (5 and 6) that are greater than 4 on each cube, so there are 2 x 2 = 4 favorable outcomes.
Therefore, the odds against getting two numbers greater than 4 are 32:4, which can be simplified to 8:1. So the answer is D) 8:1.