The Dice Sample Experiment

]> The Dice Sample Experiment

Description

The experiment consists of rolling $n$ dice, each governed by the same probability distribution. The die distribution can be specified by clicking on the die probability button; this button bring up the die probability dialog box. A custom distribution can be defined by typing probabilities into the text fields of the dialog box( but be sure to press enter after typing each probability). Alternately, the buttons in the dialog box specify one of the following special distributions:

fair: each face has probability $1 6$ .
1-6 flat: faces 1 and 6 have probability $1 4$ each; faces 2, 3, 4, and 5 have probability $1 8$ .
2-5 flat: faces 2 and 5 have probability $1 4$ ; faces 1, 3, 4, and 6 have probability $1 8$ each.
3-4 flat: faces 3 and 4 have probability $1 4$ ; each; faces 1, 2, 5, and 6 have probability $1 8$ each.
skewed left: face $i$ has probability $i 21$ for $i 123456$ .
skewed left: face $i$ has probability $7 i 21$ for $i 123456$ .

Random variable $X i$ gives the score on die $i$ and is recorded on each update. These variables form a random sample of size $n$ from the die distribution. The parameter $n$ can be varied with a scroll bar.