Monty Hall Problem

DESCRIPTION

Suppose you are on a game show and you are given a choice of three doors. Behind one door is a prize and behind the other doors are nothing. You pick a door and then the host who knows what's behind the other doors, opens a door that has no prize. The host then asks you if you want to switch the selected door or not. You win the prize if you selected the door with the prize and you get nothing otherwise. Is it in your interest to switch doors?

** Help **

sample(outcomes, probabilities)

Sample an outcome from the outcomes array based on the corresponding probabilities in the probabilities array.

radiobutton(name, options)

Creates a radio button parameter with name and have each option in the options array selectable. Returns the selected option.

textbox(name, default_value)

Create a textbox parameter with name and a required default value. Returns the value of the textbox.

scatter_graph(data, xlabel, ylabel)

Create a graph based on a data array and plot (data.xlabel, data.ylabel) on it. Can also pass xmin=null, xmax=null, ymin=null, ymax=null as added arguments.

stop_simulation()

Calling this function, stops the simulation.

average(values)

Returns the average of the values in the array. It can be handy to store the values of metrics from each simulation run and average it across all runs to obtain an estimate of the metric.

error_average(values)

Returns the estimated error (1.96 x standard error) of the average of the values at 95% confidence. In simple terms, you can assume that the estimate average(values) has error bounds +/- error_average(values). It can be handy to store the values of metrics from each simulation run and estimate both the average and the error of the average across all runs.

stdev(values)

Returns the standard deviation of the values in the passed in array.