Trying to pick the odds of landing the #1 or a top 3 pick in a draft more than a year away is pretty hard to do but in 2016, it is possible (although highly unlikely) that we will have 4 lottery picks (Our own, Brooklyn, Dallas, Cleveland). LeBron and Love might opt out and Irving might get hurt but let's say that is not likely. Boston, Brooklyn, and Dallas all could realistically be in the lottery though.
So we can be conservative and say that we get picks 12, 13 and 14. If that were the case, we would have a 1.8% chance of the #1 pick and a 2.6% chance at a top 3. Not great odds and certainly not good enough odds to start planning your future around.
A more optimistic scenario is that Brooklyn craters, Boston is mediocre, and Dallas just misses the playoffs and we end up in position of #6, #10, and #14. Our odds balloon up to 6.9% for #1 and 9.25% for top 3. I know these odds are diminished because Dallas has protections but not by all that much if you assume they are in the 14th position. I think my point is that <1% prediction is possible but pretty pessimistic.
Do what you will with these odds but I think it is Danny's plan that having more picks will lead to more chances and then something good will finally happen to one of them. That something good could be a ping pong ball result or a trade.