Runlikegod777
Runlikegod777
  • Threads: 28
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Joined: Oct 15, 2017
November 7th, 2024 at 2:42:50 AM permalink
This casino has pair bonus, if you get a pair in your first 2 cards it pay 10:1. However if dealer gets blackjack when you get a pair it pays 40:1. what is the house edge of this bet?
aceside
aceside
  • Threads: 2
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Joined: May 14, 2021
November 7th, 2024 at 8:00:48 AM permalink
Consider an infinite deck game. The probability of a pair is 1/13; that of a blackjack is 8/169. Therefore, the probability of a dealer blackjack and a player pair is (1/13) x (8/169); that of a dealer non-blackjack and a player pair is (1/13) x (161/169).

Using these numbers, we get the house edge of 4.5%.
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