You are playing roulette in Las Vegas and bet 5 dollars on t

You are playing roulette in Las Vegas and bet $5 dollars on the number 7. The probability of winning is 1/38, and the payoff odds are given as 35:1. Find the actual odds against the outcome of number 7

Solution

a roulette has 18 red slots and 18 black solts with alternative numbers from 1 to 36. additionally there are two more slots in green numbered as 0 and 00. The player not allowed to bet on these green numbers.

The actual odds against the outcome of number 7 is 37:1