So I was watching this video
https://m.youtube.com/watch?v=NjEikekg7a0 and he says you should always surrender hard 16 vs a shown face card.
He says the reason is that whatever else you do, you still lose slightly more than 50% of the time. However this seems flawed to me but I think I may be looking at the math a bit too abstractly, would appreciate any responses to correct or confirm my assumption.
Let's say you play 10 hands in a row with 16 vs a face and are betting 10 units. By surrendering you're losing 5 units per hand for a total loss of 50.
Now let's say we do something else instead of surrendering. In order to lose 50 units it would require losing 75% of the time (25% winning cancel out 25% losing for remaining 50% of hands of 5 hands of 10 units to go into loss column).
Now assuming that's true and I haven't screwed up so far, is he either over simplifying with "a little worse than 50%" or this blackjack author actually doesn't fully comprehend his subject.
As a follow up, in a vacuum (ie no card counting) when is surrender the optimal play?