Drawing a CA antelope tag w/o max points has crap odds.
I drew in 2003 or 2004, but this was before the point system.
Back then they had a 10yr waiting period, which applied to me, so the very first year of the point system, I wasn't even allowed to apply, since it was the tail end of the waiting period.
Nothing from stopping me from applying for a random tag, but given the odds, I'm better off using the $ to buy a lotter ticket instead (well not really...)
If you want to get a tag, your best bet is outside of CA, probably WY.