No argument that the chance of rolling a one on a six-sided die is one in six. That's obvious.
But that represents odds of 5/1. You can call it a 1:6 chance or a 5/1 chance. It means the same thing. But if you call it a 6/1 chance (as Essan did), then you're talking about a 1:7 chance.
Say we bet on the roll of a die. You say the number one will come up. I offer you odds of 5/1. You bet £1 each time. We roll the die 6 times. On average the number one will come up once out of those 6 rolls. Agree?
So after the roll when the number one appears I give you your winnings of £5 (odds of 5/1), but following each of the other five rolls you give me your losing stake of £1. Which means after 6 rolls we're both exactly where we started.
But if I'd offered you 6/1, then I would have had to give you £6 after your winning roll, but would have received only 5x£1 after your losing rolls.
Hence the correct odds are 5/1 for a 1:6 chance.
Mathematically a probabilty of x:y represents odds of (y-x)/x.
For example, odds of 11/8 represent a probability of 8:19, or approximately 42%.
2 miles west of Taunton, 32 m asl, where "milder air moving in from the west" becomes SNOWMAGEDDON.
Well, two or three times a decade it does, anyway.