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When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?

A) 4:1
B) 1:4
C) 1:8
D) 8:1​

1 Answer

3 votes

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.

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