In blackjack what is the probability of being dealt three sevens?

Answer:

The odds of being dealt three suited sevens in a six-deck game are approximately 63,000 to 1. [Source: Arnold Snyder, "The Big Book of Blackjack" p205]

The odds of being dealt three sevens (not suited) is somewhat worse than 500 to 1 (considering that casinos frequently offer the payout of 500 to 1 for players receiving three unsuited 7s in the "Super Sevens" side bet).

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