A certain drawing states that the odds of winning are 117:168. What would be the odds against winning?

would it be 168/117?

No, again 168 is the total. So if you take 168-117(Which is the odds for winning) you get 51. So your odds against winning are 51/168

okay, but my only options to choose from are:

117:168
117:285
168:285
168:117

??

Odds....I hate teaching that.

If in a contest, 3 people can win, and 5 loose, the probablility of winning is 3/8
The odds are stated to be 3:5
It is a crazy system. Bet on a horse 1:1, and you have .5 probabliltiy of winning.

So here, 117 winners, 168 loosers, so the probability of loosing is 168/(168+117), and the odds of loosing is 168:117

Nuts to the math of odds.

To calculate the odds against winning, you need to find the ratio of the number of unsuccessful outcomes to the number of successful outcomes. In this case, the odds of winning are given as 117:168.

To find the odds against winning, you swap the numbers in the ratio and express it as a fraction: 168:117. This means there are 168 unsuccessful outcomes for every 117 successful outcomes.

Therefore, the odds against winning are 168:117.