Problems #1, #2, and #3 are to be stochastically modeled as done for the coin fl

Question

Problems #1, #2, and #3 are to be stochastically modeled as done for the coin flip problem shown above. The solutions for each of the three problems should be first a plot of the answer (similar to the plots above) as a function of the number of experiments, with the numerical answer on the plot then, as always, followed by the Matlab code. Be sure and perform enough experiments that your plot arrives at a "stable" answer Problem 3) Two friends wonder if the probability of a single "G" occurring one or more times in the roll of 6 dice, is the same as the probability of three “6"s occurring one or more times in the rol of 18 dice. Find the two probabilities by modeling and plotting the results as a function of the number of "Monte Carlo" experiments as described above.

Explanation / Answer

The ‘phi±(pi/2)’ idea works. It’s necessary to use axis equal on the plot to see it correctly.

Adding the off-line distance ‘d4’ and calculating the perpendicular line at ‘C’ as the ‘PrpC’ coordinate matrix

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