The applet below allows for investigating the probability of a head when flipping an unfair coin via simulation. The plot in the top left corner shows the probability associated with each outcome of a coin flip. In this case, the coin is biased towards tails in that the true probability of a head is 0.2. When the Flip button is clicked, n simulations of the experiment of flipping the coin are performed. The results of the simulations are shown in the plot below the top plot. If the Animate option is checked, the display will show each outcome dropping into the second plot. To stop an animation uncheck the Animate option. The individual outcomes are shown in the text field to the far right of the applet. The center plot shows the cumulative proportion of times that an event of head occurs in red. The green line in the plot reflects the true probability of a head. As the experiment is conducted more and more times, the cumulative proportion should converge to the true value. Things to try with the applet: