From the perspective of logic, it is a thinking error which we can label that way. However, from the standpoint of statistics it is just variance in outcomes. Given enough repetitions, anything that can happen will happen no matter how low the possibility of it happening. That is how it works. If enough people tried, eventually someone would win 100 times in a row by solely playing a ticket when he or she finds themselves in the process of pooping. Would that mean that the process of pooping increases the skills of a gambler?The answer for many idiots in this section would be a yes.

Your words are true for random(casino) games. When you can influence the result or play predictable games - it doesn`t works so.
Of course you can`t get 100% win rate, gambling can`t be 100% predictable, but you can win enough to get profit.
False, it seems you are missing a key understanding of statistics. In the context of outcomes, given enough repetitions (infinite time) any outcome that has a probability which is not zero will eventually happen. It does not matter if we are talking about random games or games where you can influence the result, the statistics principles apply to every single thing in existence. Here are some examples to avoid spreading misinformation:
- A noob defeating a grandmaster in Chess is extremely improbable, but it is possible and with enough time it will happen.
- An extremely unlikely outcome sequence such as 50 wins or 50 losses in a row will appear in every game that has this.
The first case involves games where both sides can influence it (skill), the second one doesn't. Get back to the basics of statistics before you start correcting people who have more years in the field than you have walked on this earth.

Do not spread misinformation about things that you do not understand.
If you’re betting on the winner market, then yes, there are always three possible outcomes on the line. But there are many other types of bets where you can exclude the third outcome yourself. For example, if you bet on totals, you can often choose over or under 2.5 goals, there is no third option there. This way, the probability can work more in your favor. The same applies to handicap betting, where you can also eliminate the third possible outcome in certain cases. This is exactly where strategy can help improve the probability of winning your bets.
Completely false nonsense again. The only part that is true is your description where you state that the third option is removed, everything else is misleading. In this way, the probability does not in any way improve your expected value. Reducing the number of possibilities is already factored in by the bookies, you are not gaining anything. Come on, this is the basic of the basics.