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
A
pr = 0
B
pr = 1
C
0 < pr ≤ 1/5
D
1/5 < pr < 1

Correct : d

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......