-5
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Any order which ends in 2, 4 or 6 will do.
6. Because you first have to arrange in order then find the number in the middle: 1 3 4 [6] 6 6 9
-6, -2, -1, 3, 4
If the order of the numbers matters, then:The probability of a 6 on the first roll is 1/6.The probability of a 1 on the second roll is 1/6.The probability of a 3 on the third roll is 1/6.The probability of all three is (1/6 x 1/6 x 1/6) = 1/216 = 0.00463 = 0.463 % (rounded)If you're not concerned about the order of the rolls, only the probability of getting all three numbers, then:The probability of getting any one of them on the first roll is 3/6, or 1/2.The probability of getting one of the other two on the second roll is 2/6, or 1/3.The probability of getting the final one on the third roll is 1/6.The chance of all three without order then is (1/2 x 1/3 x 1/6) = 1/36 or 2.778% (rounded)
A hexagon can have rotational symmetry of order 1, 2, 3 or 6.It can have 0, 1, 2 or 6 axes of symmetry.