LOFS in Solaris zone, privileges

Hi all

Can i check, if I have a lofs filesystem in my local zone (myzone) for - e.g.

global-zone -> /db/myzone (/dev/dsk/c0t0d0s6 ufs)
myzone-> /myzone (lofs filesystem)

zonecfg -z myzone
(add fs
 set dir=/myzone
 set special=/db/myzone
 set type=lofs
)

q1) If I have install some binary/program in my localzone under the path
/myzone/program1/bin/someprogram1

Can my globalzone also run "someprogram" using
/db/myzone/program1/bin/someprogram1 ?

q2) if I have install some binary/program in my globalzone under the path
/db/myzone/program2/bin/someprogram2

Can my localzone also run "someprogram2" using
/myzone/program2/bin/someprogram2 ?

Both global zone and local zone (myzone) have the same uid/owner of the for both the paths.

:confused::confused::confused:

Regards,
Noob