Monty Hall Simulation

Provided below is some template of code that you can build on to complete the function. As you fill in the code,

uncomment the lines of code. I have left you some hints along the way. You may approach the problem in a different way if

you would like, but here is how I approached it$.$

Code

monty $=$ function$($strat $=$ c$("$stay$",$ "switch", "random"$),$ N$)\{$

#N is number of iterations

#strat $=$ 'stay', 'switch', 'random' is the strategy you use.win $=0$ #to keep track of number of winsprize$=$sample$(1$:$3,$ size $=1)$ #randomize which door has the good prizeReveal one of the doors you didn't pick which has a bum prizereveal $=$ #Insert Code. This line should assign to $`$reveal$\text{'}$ the door that is neither the prreveal $=$ #Insert Code. This line should sample randomly from the two doors that are the no

$\}$if$($strat $==$ 'switch'$)\{\}$select $=$ #Insert Code. This line should assign to $`$select$\text{'}$ the guess.if$($strat $==$ 'random'$)\{\}$if$($select $==$ prize$)\{\}$ if$($strat $==$ 'switch'$)\{$

$20$ # select $=$ #Insert Code. This line should assign to $`$select$\text{'}$ the door that is neither the one

$21$ # $\}$

$22$ # if$($strat $==$ 'stay'$)\{$

$23$ # select $=$ #Insert Code. This line should assign to $`$select$\text{'}$ the guess.

$24$ # $\}$

$25$ # if$($strat $==$ 'random'$)\{\}$if$($select $==$ prize$)\{\}$paste$(\text{'}$Using the $\text{'},$strat,$\text{'}$ strategy, your win percentage was $\text{'},$Print the win percentage of your strategy

#$\}$

#monty$($strat $=$ "stay", $10000)$

#monty$($strat $=$ "switch", $10000)$

#monty$($strat $=$ "random", $10000)$

The following uses Daphna's solution to provide the correct answers. You should test your own function to see if you get

similar answers.

Code

$1\}\backslash$mathrm$\{$ monty$($strat $=$ "stay", $10000)$

$2\}\backslash$mathrm$\{$ monty$($strat $=$ "switch", $10000)$

$3$ monty$($strat $=$ "random", $10000)$

$[1]$ "Using the stay strategy, your win percentage was $33\mathrm{.}58\%"$

$[1]$ "Using the switch strategy, your win percentage was $66\mathrm{.}9\%"$

$[1]$ "Using the random strategy, your win percentage was $50\mathrm{.}1\%"$