'Odds' are a gambling term referring to the likelihood of something happening.

If you say 'my odds are good' it means that I think this is likely to happen. For example, if you have applied for a job, and you say "I feel like my odds are pretty good.", this means that you sense that you have a pretty good chance of getting the job.

Look up the noun 'odds' in a dictionary and you'll see how it's used.

It means that the person feels like they have a good chance at whatever it is they're referring to, that the odds are stacked in their favour. 

"Odd" and "odds" have different meaning.

"Odd" -> strange.

"Odds" -> chance.

So, if it odds, then it means that he always have a luck. I'm agree with Andrew.

I am not sure but may be 'somebody has a good chance at something'.

In horseracing, "the odds are 3 to 1" means that if you place a $10 bet on a horse, you will lose your $10 if the horse loses, but you will get your $10 back plus $30 more if your horse wins.

In probability, "odds" is another way of expressing probability. If the odds are 3 to 1 against you, it means you have a 25% chance of succeeding and a 75% chance of failing. If the odds are 3 to 1 in your favor, it means you have a 75% chance of successing and a 25% chance of failing.

"My odds are pretty good" mean "my chances of succeeding are pretty good."

For example:

"Do you think we need to buy advance tickets online for <em>Star Wars: The Force Awakens?</em>"

"I wouldn't bother. I think we should just go and take our chances. At an 11 a.m. showing, I'd say our odds of getting seats are pretty good."