Does it hurt my chance to WIn games I want by entering games I dont want?

I... Don't think I get the question.

that reminds me that I planned to do a simple probability/combinatorics math quiz "puzzle"

It's random regardless... so I guess a direct answer to your question would be "no".

From a mechanical perspective, it's all random. There are no connections.

HOWEVER, if you enter for stuff you aren't interested in, you're potentially preventing someone who actually wants the game from winning. As such, if there is any such thing as karma, this sort of activity could severely damage your hopes of winning.

From the FAQ:

I haven't won anything, and this other person has won a bunch. What gives?

Winners are selected at random from the database the moment a giveaway closes.
The past history of a member has no affect on their chances of winning, and everyone always has an equal opportunity of being selected.

How can I increase my odds of winning or acquire more points faster?

There are no ways to increase your odds of winning, you have the same chances of winning as
everyone else. Points, as explained in the "points" portion of the FAQ, only increase when a public
giveaway is submitted. Group and private giveaways currently do not distribute points.

It's random, dude.

no it does not hurt your chances in any way

ya man its random at least your not like me, you actually won something :P

No, odds are entirely independent- entering one giveaway has no impact on an unrelated giveaway.

If you spend your points on halflife and portal and don't have enough points for all the Medal of Hodor giveaways, then yes.
At one point it can happen that you not gonna have enough points for all the Medal of Hodor giveaways, 'cause you previously spent too much on other giveaways.

So basically, it's possible, but greatly depends on the frequency of your SG visits.

Yes. Yes it does.

Did you already offered the human sacrifice to cg?

What most likely won't hurt your chances of getting free games is clicking this link

...

If you are entering (and winning) "games [you] don't want", someday this conversation will come up with someone else you are talking to in person who also happens to be a Steamgifts user - who will then proceed to slap the shit out of you.

-Probably.

Other people entering giveaways for games they don't want, but you do, hurts your chances of winning giveaways. If everyone enters giveaways for games they don't want, then everyone's chances to win are hurt. Why even enter giveaways for games you don't want?

Generally no as all giveaways are independent.

But it's technically possible to screw yourself over due to the point system.

As a toy example lets say you enter 2x Total War Grand Master Collections which end at the same time spending 300P for the pair.

As soon as both giveaways end a bunch of Medal of Honers appear all with a 1 hour time limit. Since you won't be able to get more points until all the giveaways are over, you essentially messed yourself up. Of course if the giveaways didn't end yet you can always get your points back, but be careful putting all your points in giveaways that end at the same time.