The probability for the next hand is the same for any given hand.


For this to happen someone needs to be have the 2c as their door card and you need to be dealt the other three deuces.


Let's start with you:

3/52 = chance of your first card being a non-club duece.

2/51 = chance of your second card being a non-club deuce.

1/50 = chance of your door card being the remaining non-club deuce.

Multiplying yields your chance of getting these three deuces is 1/22100.


There are 49 unseen cards left and we'll assume you have seven opponents. So the chance is 7/49 that someone will get the deuce of clubs. Multiply this by our previous result.


Thus you will get rolled up deuces and not be the bring in once every 154,700 hands on average.