Throw of a single astragalus


Tossing for astragali was the most popular game of the chance in Roman times. Many throws of one present-day astragalus show that the aproximate probability distribution for the four sides of the bone that can land uppermost are:

Outcome Probability

Narrow flat side of bone 1/10

Broad concave side of bone 4/10

Broad convex side of bone 4/10

Narrow hollow side of bone 1/10

The best throw of four astragali was the "Venus" when all the four uppermost sides were different, as shown above.

Explain how to use random digits to simulate the throw of a single astragalus. Then use the table of random digits at the start of the line 140 to simulate throwing four astragali independently of each other. Did you throw a "Venus"?

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Basic Statistics: Throw of a single astragalus
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