Question

Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls a sum that is an odd number greater than 10.

What are Hillary's chances of getting a second turn when she rolls the number cubes?

Answer 1

1/36

1/18

1/12

1/6

Answer 2

1/6?

Answer 3

@terenzreignz

Answer 4

how many possibilities are there, with 2 number cubes with 6 faces each?

Answer 5

There's 12 possibilities. I didn't think 1/12 made sense, though. I thought it needed to be 2/12

Answer 6

no there aren't, 6 possibilities in cube 1, and for each of those possibilities, you get 6 more for cube 2.
that's 6 times 6, or 36.

Answer 7

Why 6*6....? Why isn't it 6+6?

1 Cube = 6 sides
If you have another cube, you have a total of 12 sides

Answer 8

It's not 36.

Answer 9

I might actually have to list down all possible pairings just to get you convinced LOL
\[\Large \left.\begin{matrix} \text{first cube}&\text{second cube}\\\color{red}{1}&\color{green}{1}\\\color{red}{1}&\color{green}{2}\\\color{red}{1}&\color{green}{3}\\\color{red}{1}&\color{green}{4}\\\color{red}{1}&\color{green}{5}\\\color{red}{1}&\color{green}{6}\\\color{red}{2}&\color{green}{1}\\\color{red}{2}&\color{green}{2}\\\color{red}{2}&\color{green}{3}\\\color{red}{2}&\color{green}{4}\\\color{red}{2}&\color{green}{5}\\\color{red}{2}&\color{green}{6}\\\color{red}{3}&\color{green}{1}\\\color{red}{3}&\color{green}{2}\\\color{red}{3}&\color{green}{3}\\\color{red}{3}&\color{green}{4}\\\color{red}{3}&\color{green}{5}\\\color{red}{3}&\color{green}{6}\end{matrix}\right.\]

that's 18 possibilities right there... convinced yet?

Answer 10

there are 12 possible outcomes; but each outcome is not as probabile as another.