# Solving Probability Problem: Red Cube 6 & Sum of Cubes 10

• MACHO-WIMP
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MACHO-WIMP
The question is:
Two number cubes are rolled--one is red and the other is white. Find the probability that the red cube is a 6 and the sum of the two cubes is 10.

I said that it is 1/6 for being a 6 and since only a 4 can add up to 10 its 1/6*1/6=1/36. But my teacher said it was wrong. Please help!

I must say that I think you are correct and your teacher wrong. Are you sure you two are talking about the same problem? If the problem were just "one cube is 6 and the two sum to 10" then then you could get a 6 on either, and a four on the other: (1/6)(1/6)+ (1/6)(1/6)= 1/18.

MACHO-WIMP said:
The question is:
Two number cubes are rolled--one is red and the other is white. Find the probability that the red cube is a 6 and the sum of the two cubes is 10.

I said that it is 1/6 for being a 6 and since only a 4 can add up to 10 its 1/6*1/6=1/36. But my teacher said it was wrong. Please help!

You are correct; your teacher made a mistake. Your teacher would be correct IF you were not told the color of the "6" die---but you *were* told its color.

RGV

## What is the probability of drawing a red cube with a sum of cubes equal to 10?

The probability of drawing a red cube with a sum of cubes equal to 10 is 1/6. This is because there is only one red cube out of six total cubes and only one combination of cubes (4 and 6) that add up to 10.

## How many different combinations of cubes can result in a sum of 10?

There are three different combinations of cubes that can result in a sum of 10: 4 and 6, 5 and 5, and 6 and 4.

## What is the probability of drawing a red cube with a sum of cubes less than 10?

The probability of drawing a red cube with a sum of cubes less than 10 is 2/3. This is because there are two out of three possible combinations (4 and 6, and 5 and 5) that result in a sum less than 10.

## What is the probability of drawing a non-red cube with a sum of cubes equal to 10?

The probability of drawing a non-red cube with a sum of cubes equal to 10 is 1/3. This is because there are two out of six total cubes that have a sum of cubes equal to 10 (4 and 6, and 5 and 5), and only one of those cubes is red.

## How many possible outcomes are there for drawing a cube and getting a sum of cubes less than 10?

There are four possible outcomes for drawing a cube and getting a sum of cubes less than 10: red cube and sum less than 10, non-red cube and sum less than 10, red cube and sum equal to 10, and non-red cube and sum equal to 10.

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