No. The point is NOT to say "you might get lucky [to be saved]"... it is saying, "
IN HIM/CHRIST in whom also we have been lot-cast"

[positional/legal truths]
____________
and, oh boy, I must be really getting distracted [here where I am, today

], as I had meant to
also add:
[from BibleHub]
[re: a word
in Eph3:6... but see vv.4-6 (quoted below)]
HELPS Word-studies
4789 sygklēronómos (
from 4862 /sýn, "closely identified
with"
and 2818 /klēronómos, "an heir, with inheritance determined by lot") –
properly, joint-heir; used of believers sharing in the inheritance of the heavenly Father
with (through) the chief heir, Jesus Christ.
See 2818 (
klēronomos).
[end quoting from BIbleHub; bold and underline mine
]
____________
we should understand these words (related to each other) in the context of Ephesians.
It is "IN HIM" (not apart from Him, like, on our own, or something... or "chance-y". No.)
_____
"
3 that He made known to me the mystery by revelation, just as I have written before in brief,
4 which, by reading, you are able to understand my insight into the mystery of Christ,
5 which was not made known to the sons of men in other generations as now it has been revealed in
the Spirit to His holy apostles and prophets,
6 that the Gentiles are joint-heirs, and a joint-body, and joint-partakers of the promise in Christ Jesus, through the gospel,
7 of which ..."