Blackjack question.

What are the odds on dealer busting five times in a row ?

And I would also like to know if this has anything to do with the fact that the game is played on one single hand or on multiple hands at once or with how I played my hand(s) - using basic strategy or playing like a dumb ? - I suppose it doesnt have anything to do with neighter of those facts since the outcome of the dealers hand must be a busting hand and shall be independent of what cards I got previously.

Probability of dealing busting is roughly 28% so the probability of the dealer busting 5 times in a row is (0.28)^5 which comes out to around 1 in 580.