Three marksman simultaneously shoot and hit a rapidly spinning spherical target. What is the probability that the three points of impact lie on the same hemisphere?

I have to choose the correct answer from the following multiple choices given by the author.

1)0.

2)1.

3)$\frac12.$

4)$\frac23.$

5)$\frac14.$

6)$\frac18.$

What would be your answer?

My attempt:- How to answer this question? I think considering a great circle will be of much help here.