Recall that a list of elements is called a binary min-heap if in its tree representation, the root is the smallest in magnitude compared to its left and right subtrees. Out of all the possible permutations of {1, 2, 3, 4, 5, 6, 7}, a permutation is picked at random. The probability that the permutation satisfies the min-heap property is ________. (Upto 3 decimal places)
