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Uniform distribution
For one die roll, the chances for any one of the six sides to face up are the same and equal to 1/6 0.167. This is indicated in figure 2 by six bars of the equal height 1/6. It is called the probability distribution, indicating how the probabilities of each event are distributed over the sample space of outcomes {1, 2, 3, 4, 5, 6}. It is a uniform distribution of equal probabilities. You may also indicate in figure 2 the six ratios of table 2 by vertical bars for {1, 2, 3, 4, 5, 6}. Do they obey a uniform probability distribution after 60 die throws?

Figure 2. One die roll
A pseudo-random number generator simulates the dice roll in Prog#7b, so that you can quickly generate thousands of die throws. For instance, beginning from 500 die throws you can test for the equal probability of by incrementing the number of die rolls by 500 with Prog#7b.
Note:
Prog#7b is available for download on the index page.
If you use a Macintosh, view the Flash versions.
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