Use and edit the code below to repeat the snakes and ladder game for a single player and work out how many turns it takes on average to reach the $100$th square. Repeat this simulation $500$ times and plot the distribution of the number of turns taken to reach the $100$th square. Explain what you observe in the distribution briefly

set.seed$(42)$

# Game parameters

max$\_$turns $<-500$

max$\_$position $<-100$

n$\_$sides$\_$die $<-10$

position $<-4$

positions$\_$over$\_$time $<-$ numeric$($max$\_$turns$)$

# define the snakes and ladders keys on the board $($from$==$to$)$

ladders $<-$ list$(\text{'}1\text{'}=38,\text{'}4\text{'}=14,\text{'}9\text{'}=31,\text{'}21\text{'}=42,\text{'}28\text{'}=84,\text{'}36\text{'}=44,\text{'}51\text{'}=67,\text{'}71\text{'}=91,\text{'}80\text{'}=100)$

snakes $<-$ list$(\text{'}15\text{'}=6,\text{'}48\text{'}=26,\text{'}49\text{'}=11,\text{'}56\text{'}=53,\text{'}62\text{'}=19,\text{'}64\text{'}=60,\text{'}87\text{'}=24,\text{'}93\text{'}=73,\text{'}95\text{'}=75,\text{'}98\text{'}=78)$