2023 AMC 12B Problems/Problem 20
Solution
Denote by 
the position after the 
th jump.
Thus, to fall into the region centered at 
and with radius 1, 
.
Therefore, the probability is
$$ (Error compiling LaTeX. Unknown error_msg)
\[
\frac{2 \cdot 2 \arcsin \frac{1}{4}}{2 \pi}
= \boxed{\textbf{(E) 
}}.
\]
$$ (Error compiling LaTeX. Unknown error_msg)
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
