Q. 44 Suppose L = “p,q,r,s, t, is a lattice represented by the following Hasse diagram :
For any xyeL, not necessarily distinct, x0y and x/y are join and meet of x ,
y respectively. Let L3 = “^x,y,zh : 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,zh! L3 chosen
equiprobably satisfies x0^y/zh = ^x0yh/^x0zh. Then
(A) pr = 0
(B) pr = 1
(C) 0 < pr 5# 1
(D) 1/5 < Pr < 1
Answer: (D)
Explanation:
