Katniss and Peeta know each other before they appear together in the Hunger Games, but they are not close, nor are they really friends. During an interview, Peeta reveals that he has a crush on Katniss, which makes her angry as she thinks it will make her appear weak.
“May the odds be ever in your favor” is the slogan of the Hunger Games and is typically directed towards potential or actual tributes. Throughout the novel various characters recite it both seriously and sarcastically. In reality, the odds are actually in no one’s favor.
Trained from birth to compete in and win the Hunger Games, the Careers are the favorites to win the games for several reasons. They train in martial arts and with weapons; they never go hungry and thus are not malnourished like the tributes from other districts; they have more free time to increase their strength and agility; and the list goes on. However, in the 75th Hunger Games, the qualities that would typically give the Careers an advantage over the other tributes are the very qualities that lead to their loss. For example, because they have never had to hunt or forage for themselves like Katniss and Rue have, the Careers are ill equipped to nourish themselves in the arena.
Katniss and Peeta always think the opposite of what is actually true about one another. For example, Katniss is shocked when she discovers that Peeta knows about her skill with a bow and arrow. She assumed that, aside from the bread incident, she was never more than a blip on Peeta’s radar. The same can be said about Peeta with regards to Katniss. During his interview with Caesar Flickerman, Peeta laments that Katniss didn’t even know he was alive until the reaping. This is a huge misconception. Ever since the bread incident, Katniss has subconsciously kept tabs on “the boy with the bread," noticing his physical strength and interest in wrestling.
The Peacekeepers are the police force of the Capitol. They are tasked with enforcing the Capitol’s laws and distributing justice when necessary, but District 12’s Peacekeepers not only turn a blind eye to trespasses against the law, but they are also sometimes active participants in the petty crimes committed in District 12. For example, most of 12’s Peacekeepers will ignore hunters like Katniss and Gale (who, under the ordinances of the Capitol, are guilty of trespassing in the woods and poaching) because they also want fresh meat.