Computer Sciences > GATE 2015 SET-1 > Lattice Theory
Suppose L = {p, q, r, s, t} is a lattice represented by the following Hasse diagram:
For any x, y ∈ L, not necessarily distinct, x ∨ y and x ∧ y are join and meet of x, y, respectively. Let L3 = {(x, y, z): x, y, z ∈ L} be the set of all ordered triplets of the elements of L. Let pr be the probability that an element (x, y, z) ∈ L3 chosen equiprobably satisfies x ∨ (y ∧ z) = (x ∨ y) ∧ (x ∨ z). Then
Correct : d
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