Question

A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.

A small cube is selected at random and rolled. What is the probability that it has a red side facing up?

Answer 1

I guess you didn't understand what I said? Want to try again?

Answer 2

yes

Answer 3

What were the numbers we had?

Answer 4

none;1;2,3 sides are 27 cubes, 54 cubes, 36 cubes, and 8 cubes

Answer 5

OK.
So the Prob that you have a cube that's red on 3 sides is 8/125 and the Prob that when you throw it, it lands with red up is 3/8 so that's a total of 3/125.

Answer 6

Do you see why that is?

Answer 7

3/6

Answer 8

8/125 3/6 = 4/125

Answer 9

Ok

Answer 10

This is what's called enumerating the sample space. You think of the possibilities, figure out the P of each, and add them up.

Answer 11

Total P (of getting a red side up) =
8/125 x 3/6 + 36/125 x 2/6 + 54/125 x 1/6

Answer 12

which equals 1/5

Answer 13

Let's see 4 + 12 + 54 / 125 = 70 / 125?

Answer 14

OK?

Answer 15

yes