Can I say "The possibility I am going to lose is low." or "There is a low possibility of loss for me" or "The possibility of loss is low for me" instead of "There is a low possibility I am going to lose"?
There's a difference between "losing" and "loss". "Loss" generally refers to misplacing or otherwise losing possession of something, more often than it refers to something like losing a game.
She is upset at the loss of her favorite ring.
You can talk about the loss of a game, but in your example you should say "a loss".
There is a low possibility of a loss for me.
Otherwise, all of your examples are fine, just awkward and artificial. More common expressions might be:
I don't think I'm going to lose.
I'm not likely to lose.
There's only a slim possibility that I will lose.
You can also use chance instead of possibility:
There's almost no chance I will lose.
The chances of me losing are slim to none.
As well as many other expressions
Let's first distinguish between possibility and probability, and between loss and losing.
The possibility of an event is related to the answer to the question "is it possible?", which can be either yes or no. This is a binary value (can also be described as true/false or 1/0). If you ask "what's the possibility of winning" the likely answer is "it is possible".
What you are actually interested in is the probability of an event, which is the answer to the question "how probable is it?". Without going into too much math, the probability of an event is a number between 0 (impossibility) and 1 (certainty), typically expressed as a percentage. For example, winning a single "heads or tails" toss of a fair coin has a probability of 50%.
Losing and loss are related terms with similar characteristics: when you make a bet or an investment, "losing" describes the event that you lose (which is eventually a binary value - you either lose or not), and "loss" describes how much you lose (which is a number or an amount of property). The corresponding terms for the case you win are "winning" and "gain".
Having clarified the terms, let's examine the sentences you suggested. If you change "possibility" to "probability" and "loss" to "losing", you would get syntactically correct sentences, with slightly different emphasis. The choice may depend on the context.
- The probability [that] I am going to lose is low - This is the most natural one, and the one you should normally use.
- There is a low probability of losing for me would make sense if followed by , but not for you.
- The probability of losing is low for me would make sense if followed by , but high for you.
Here are some other possible sentences, using "possibility" and/or "loss":
- The probability of your loss exceeding $100 is low (e.g. if you invest your money, you may decide to sell your stock when the loss reaches $80).
- The possibility of losing always exists (e.g. if you make a "safe investment", your return may be lower than the inflation rate).
- There is no possibility that your loss exceeds $1000 (e.g. if you only invested $1000).