Welcome to the wonderful world of go (and to our forum)!
When in doubt in a situation like this, you have to think for each side.
What can black do?
What can white do?
For black it’s easy. He can play A or B but then white eats all. Not interesting.
For white it’s more interesting. White can capture the big black group of stones in a few moves by sacificing 2 and then 1 stone. Black cannot avoid it, he needs to capture each sacrifice or white captures all, but that’s no help for him as finally white will capture all.
This last position is completly hopeless for black. There are many ways to prove it but an interesting one is that the lonely stone is connected to the upper right white group (you can try, nice little exercise, black cannot capture it) Indeed black has no place here to build a living group with two eyes.
Conclusion
If both had no interest then we would leave the situation and no one will be captured. It’s a special case of the rule of go called seki.
But that’s not the case here as white can eat the black stones. So the full board is white.
Here i put another position to look at.
You can try first by yourself and then look at the answer below
Answer
What can black do?
Nothing. If he add a stone white will capture him.
What can white do?
Let’s try
So here it’s different. White cannot capture black because if he plays 1 black will play 2 (ot reverse)
In fact black is getting two eyes. White need to play both x but that’s not possible you don’t play two moves at the same time in go and each move is a suicide.
Conclusion
We can say that
Black doesn’t want to play
White doesn’t want to play
This is seki. No one will get points with the stones involved in this area. It’s like a neutral zone, like some boundaries stones. Still no one will be captured, the stones are “alive” and will stay on the board.
The game is finished (both will pass and then score)
If we use the Japanese rules
White has 2 points of territory
Black has no territory
White wins (by 2+komi)
You can see that if white tried to capture black and failed then this time black will get a territory of 4 points