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What are my chances of being dealt four to a royal and drawing the fifth card? Also, what are my chances of being dealt a royal? And finally, what are my chances of being dealt a sequential royal?
Your chances of being dealt four to a royal and drawing the fifth card are one in 47 (1 in 48 if it's a joker game).
Your chances of being dealt a royal are once in every 649,740 hands.
And your chances of being dealt a sequential royal (meaning that the five cards line up in order, forward or backward: 10, jack, queen, king, ace or ace, king, queen, jack, ten) are one in 38,984,400. You'd have to play approximately 500 hands an hour, 24 hours a day, for roughly eight years and 11 months to hit one, theoretically.