# Spinning spherical target

#### WMDhamnekar

Hello,

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)$\frac18.$

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

#### romsek

MHF Helper
Think about this problem without any math for a bit. You'll have to consider an arrow hitting on the boundary of a hemisphere as being in the hemisphere.

Last edited:

#### WMDhamnekar

Think about this problem without any math for a bit. You'll have to consider an arrow hitting on the boundary of a hemisphere as being in the hemisphere.
Hello,