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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"?
Graph one shows a number of observations that are very spread out but generally trending from the top left of the graph to the bottom right.
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test hypothesis 9.5708310.558529.17 n 9.575083 10.55852 9.17 29.303603 k number of samples 3 therefore numerator
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