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This query was asked and answered in this hyperlink:

Probability that Each Player and Dealer are not Dealt Blackjack

On the other hand, I nonetheless do not have an understanding of why due to symmetry the probability for receiving black jack is the identical for either you are the dealer. When the cards are dealt out, a total of four cards are dealt out. How come this does not come into play? Say a single individual is dealt 1st. Now you have 50 cards to deal the other player from. Would not you calculate the probability of the second player receiving blackjack primarily based on the cards dealt to the 1st player?

Also, in a true blackjack game, the player gets a single card and then the property. Does not that after once again alter the probability of receiving blackjack for the two players?