Galton board random walk

A Galton board (or bean machine, or quincunx) to illustrate a random walk.

Edit and compile if you like:

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% Author: Izaak Neutelings (March 2019)
\documentclass[border=3pt,tikz]{standalone}
\tikzset{>=latex} % for LaTeX arrow head
\tikzstyle{block}=[inner xsep=8,inner ysep=9,fill=red!60!black]
\tikzstyle{bin}=[inner xsep=8,inner ysep=3,fill=white,above=1]
\tikzstyle{arrow}=[->,thick,thick,blue!50!black,shorten <=1,shorten >=4]
\begin{document}
% RANDOM WALK
\begin{tikzpicture}
  \def\w{1}
  \def\h{.8}
  \def\bin{++ (\w/2,.3*\h) |-++ (-\w,-.4*\h) --++ (0,.4*\h)}
  
  \node[block] (S1-1) at (0,0) {};
  \node[block] (S2-1) at (-\w,-\h) {};
  \node[block] (S2-2) at (\w,-\h) {};
  \node[block] (S3-1) at (-2*\w,-2*\h) {};
  \node[block] (S3-2) at (0,-2*\h) {};
  \node[block] (S3-3) at (2*\w,-2*\h) {};
  \node[bin] (S4-1) at (-3*\w,-3*\h) {0};
  \node[bin] (S4-2) at (-\w,-3*\h) {1};
  \node[bin] (S4-3) at (\w,-3*\h) {2};
  \node[bin] (S4-4) at (3*\w,-3*\h) {3};
  %\coordinate (S4-1) at (-3*\w,-2.5*\h);
  %\coordinate (S4-2) at (-\w,-2.5*\h);
  %\coordinate (S4-3) at (\w,-2.5*\h);
  %\coordinate (S4-4) at (3*\w,-2.5*\h);
  
  \fill[blue!40!black] (90:0.6*\h) circle (2pt);
  
  % ROW 1
  \draw[arrow] (S1-1.110) to[out=110,in= 80,looseness=1.5] (S2-1.85)
    node[midway,above left=15,blue!40!black] {L};
  \draw[arrow] (S1-1. 70) to[out= 70,in=100,looseness=1.5] (S2-2.95)
    node[midway,above right=15,blue!40!black] {R};
  
 
 
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