GATE CSE 2015 SET 1

Planning to take coaching on Unacademy http://bit.ly/gate_unacademy or https://unacademy.com/ here is a code for 10% off PLUS1BPK1 Telegram Notification Group link:- https://t.me/joinchat/X5egW_cvdt9kMGY1 Telegram discussion Group link:- https://t.me/joinchat/VCyGUmVq8RNkMzhl Downloads resources from here https://education4fun.com/gate-cse/ MCQ (Single Correct Answer) GATE CSE 2015 Set 1 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 LESS THAN Pr ≤ 1/5(D) 1/5 LESS THAN Pr LESS THAN 1