I mean - if a casino has a 1% house edge, it means you have 99% odds of winning.
So basically winning odds is 100 - house edge.
Isn't the house edge how much money the house gets back on average? For example, if a casino has 1% house edge, it means on average you get 99% back, not that there is 99% odds of winning (I wish...).
So with 10000 * $1 bets you'll get back $9900 on average with a house edge of 1%, but you won't win 9900 times (well it depends on the win chance you selected).
But with a smaller house edge, there's better odds.