Try alternating between clockwise and counter-clockwise and see if anyone at the table notices. If someone comments, deal the direction that they want to go to avoid further conflict.
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Assuming you mean from a standard 52-card deck of four suits, there is a 4/52 chance of first dealing an ace, a 4/51 chance of secondly dealing a king and a 4/50 chance of dealing a queen. Together, these mean there is a 64/132600, or 8/16575 or 0.04826546% chance of dealing the desired cards in order.
4/52 x 3/51 x 2/50
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The chance of getting 5 red cards if they deal you only 5 cards out of 52 is (1 in 13) times (1 in 12) times (1 in 11) times (1 in 10) times (1 in 9) or (1 in 154440).
(13/52)*(12/51)*(11/50)*(10/49) = 17160/6497400