Red Jacks 3 straight hands

[invictus]

What is the probability of being dealt the same cards 3 hands straight?

The other night playing hold'em, I saw two red jacks in the hole on three straight hands.

Chances of being dealt a pocket pair: 220/1

Ways of making a pocket pair: 6

Ways of making a specific pocket pair: 1320/1

Chances of this happening three straight hands: 1320 X 1320 X 1320

Chances of being dealt both red jacks on three straight hands: 2299968000/1

Is this correct?

[SossMan]

looks right...about 2.3billion to 1.

Of course, the odds of me typing a response to someone posting a question about receiving the same exact cards three straight hands in a row are roughly the same.
Unprobable things happen every day.

I wouldn't mind getting dealt JJ every time.

[daryn]

it's actually 1325-1 against getting dealt red jacks, or any 2 specific cards for that matter.

3 times in a row would be exactly 2,331,473,975-1 against.