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The fourth row of our sennet table contained the values:
We can draw a plot of this using bars to represent the counts of each outcome.
bars = ['no white', 'one white', 'two white', 'three white', 'four white']
counts = [1, 4, 6, 4, 1]
plt.title('Counts for each outcome with four two sided sticks');
Using this plot, we come back to the problem of determining the probability of a given outcome or outcomes. Here, we can interpret this probability as the relative area of a given bar to the overall count. For example, we consider each bar having width of one unit, and height of the count. Thus, we have a total area of:
This is the total number of possible outcomes. Thus, determining the probability of a specific outcome is as simple as dividing the total area of our bars by the area under the event of interest.