The act of throwing a dart is made up of three movements: “take back”, “release”, and “follow through”.
Retrieved from www.dartslive(DOT)com on How to throw
A math student and a physics pupil are debating the probability of scoring by the outer and the inner region of a dartboard.
The math student calculates this way:

but the physics pupil deliberates this way:

Please follow suit by making assumptions: i. the darts land safe on the board if the incident angle is no more than ; ii. air resistance is negligible; and iii. the possible throwing speed(s) and angle(s) are evenly distributed.
This problem is not to be attempted.
