Keep the odds straight (2)

In the game of Yahtzee, five regular dice are rolled.

The outcome is called a Small Straight if four of the dice can be rearranged as a sequence of consecutive values. Examples are

\[(2, 1, 2, 3, 4),\ \ (6, 5, 3, 4, 2),\ \ (1, 3, 4, 6, 5).\]

What is the probability of rolling a Small Straight? Give the answer as a percentage, with three decimals precision. (If the answer is 23.456%, write 23.456.)

Note (and hint!): A "Large Straight" also counts as a "Small Straight."

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