odds terminology, does a bet pay 1:1 or 2:1

Hi, this is my first post, I have been reading 2+2 for poker info for quite a while.

Me and my friend were debating some terminolgy at the airport today.

He said that roulette pays 1:1 on red or black, I said it pays 2:1

My theory: if you put in 1 dollar and win, you get 2 back, so 1 in and 2 out = 1:2

his theory: if you put in 1 dollar and win, they pay you 1 dollar on top of your original dollar so its 1 dollar in and 1 dollar added, 1:1.

so I guess we are just looking at it different ways... after thinking about it for sometime he admited that I was correct, but when we got home we looked on the web and saw that they do refer to it as 1:1 as he had said.

when playing video poker jacks or better, and you get jacks, you just keep your money, no win, no loss, does this mean im getting 1:0? or does it mean Im getting 1:1. 1:1 seems much more logical in this instance.