The ancient Enneagram (Figure 4.14) has nine personality types represented by the numbers 1 through 9 drawn around a circle. Three equilateral triangles can be drawn by connecting the points 9-3-6, 4-7-1, and 5-8-2. These three groupings correspond to three emotional states identified by modern psychological theory: attachment (9-3-6), frustration (4-7-1), and rejection (5-8-2).

If the numbers 1–9 were randomly separated into three groups of three numbers, what is the probability that one group would contain the numbers 9, 3, and 6 (not necessarily in that order), another group would contain the numbers 4, 7, and 1, and the third group would contain the numbers 5, 8, and 2?

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8 2 Figure 4.14