Last Updated on October 8, 2026 by admin
Quick answer: in 13-card rummy, you’ll be dealt at least one joker about 71% of the time. On an early turn, your chance of drawing one specific card is about 2%, but a two-way open sequence like 5♥ 6♥ has about a 14% chance of improving on each draw once jokers are counted. Keeping draws with more “outs” is the single most useful probability habit in rummy.
This guide explains where those numbers come from, so you can work them out at the table yourself.
What’s in a rummy deck
13-card Indian rummy is usually played with two standard decks plus two printed jokers. Before play, one card is turned face up; every card of that rank becomes a wild joker.
| Card | Copies in the game |
|---|---|
| Total cards | 106 (104 + 2 printed jokers) |
| Any specific card, e.g. 5♣ | 2 (one per deck) |
| Any rank, e.g. all the 5s | 8 (4 suits × 2 decks) |
| Printed jokers | 2 |
| Wild jokers in play | 7 (8 of that rank, minus the one turned face up) |
| All jokers in play | 9 |
The most common mistake is forgetting that a specific card like the 5♣ exists only twice, not four times.
How many jokers will you be dealt?
You’re dealt 13 cards from the 105 left after the wild joker card is turned up. Here’s how likely each number of jokers is:
| Jokers in your opening hand | Chance |
|---|---|
| 0 | 28.9% |
| 1 | 40.3% |
| 2 | 22.7% |
| 3 | 6.8% |
| 4 or more | 1.3% |
On average you’ll start with about one joker. Roughly 3 hands in 10 start with none, so you can’t count on jokers to finish your melds.
Outs: the key idea
An out is any unseen card that completes or improves a meld. Your chance of drawing an out on your next turn is:
Chance = outs ÷ cards you haven’t seen
Early in a two-player game, you’ve seen your 13 cards, the wild joker card and the top of the open pile, so about 91 cards are unseen.
Outs for common partial melds
| You hold | Cards that complete it | Pure outs | Outs including 9 jokers | Chance per draw (with jokers) |
|---|---|---|---|---|
| 5♥ 6♥ (open at both ends) | 4♥ or 7♥ | 4 | 13 | 14.3% |
| 5♥ 7♥ (gap in the middle) | 6♥ | 2 | 11 | 12.1% |
| K♣ K♦ (set) | K♥ or K♠ | 4 | 13 | 14.3% |
| One specific card | That card only | 2 | — | 2.2% |
Two things follow. An open-ended sequence has twice as many pure outs as one with a gap. And jokers more than double your outs for impure sequences and sets, but they can’t help your pure sequence.
How your chances build over several turns
You draw once per turn, so the chance of hitting at least one out grows the longer you wait:
| Outs | 1 turn | 3 turns | 5 turns | 10 turns |
|---|---|---|---|---|
| 2 (one specific card) | 2.2% | 6.5% | 10.7% | 20.9% |
| 4 (open-ended pure sequence) | 4.4% | 12.8% | 20.5% | 37.7% |
| 11 (gap sequence with jokers) | 12.1% | 32.4% | 48.3% | 74.4% |
| 13 (open-ended with jokers) | 14.3% | 37.4% | 54.6% | 80.4% |
These figures assume you draw from the closed deck and that opponents don’t hold or pick up your outs. In a real game they sometimes will, so treat these as upper limits.
Worked example: which cards to keep
You need one more pure sequence and have room to keep only one of two partial ones:
- Option A: 5♥ 6♥, open at both ends: 4 pure outs
- Option B: 8♠ 10♠, needs the 9♠: 2 pure outs
Over the next five turns, Option A completes about 20% of the time and Option B about 11%. Keep Option A and discard from Option B. Your odds of finishing the pure sequence nearly double.
Counting dead cards
Outs change as cards appear. Every time a card you need shows up in the discard pile, take it out of your count.
Example: you hold 5♥ 6♥, so you have 4 pure outs (two 4♥ and two 7♥). If an opponent discards a 7♥ and you don’t pick it up, you’re down to 3. If both 7♥ cards have gone, your sequence is now open at one end only, with just 2 outs. At that point, switching to a different partial sequence may be the better play.
Using probability to manage points
In Points Rummy, unmatched cards count against you when someone declares: face cards and aces are worth 10 points each, numbered cards their face value, and jokers zero, up to a maximum of 80 points per hand.
That changes how you read the odds. A K♣ K♦ pair has the same 13 outs as a low sequence, but if it doesn’t complete, it costs you 20 points instead of perhaps 11. When two partial melds have similar outs, keep the one with lower-value cards and discard the high cards first.
What probability can’t tell you
- Opponents’ hands: cards in their hands count as “unseen”, but you can’t draw them. Their pickups from the open pile are your best clue to what they hold.
- Deliberate discards: experienced players sometimes discard to mislead.
- The shuffle: probability describes what happens over many hands, not what will happen in this one.
Used well, probability improves your decisions. It never guarantees a result.
Frequently asked questions
How many jokers are there in rummy?
With two decks, there are 2 printed jokers and 8 cards of the wild joker rank. One of those is turned face up to show the rank, so 9 jokers are in play.
What is the chance of getting a joker in rummy?
You’ll be dealt at least one joker in about 71% of opening hands. On an early turn, your chance of drawing a joker from the closed deck is about 10%.
How do you calculate odds in rummy?
Count your outs, the unseen cards that complete your meld, and divide by the number of cards you haven’t seen. For example, 4 outs among 91 unseen cards gives about 4.4% per draw.
Is an open-ended sequence better than one with a gap?
Yes. 5♥ 6♥ can be completed by two different cards (4 copies in total), while 5♥ 7♥ needs one card (2 copies). The open-ended version has twice as many pure outs.
Does probability guarantee a win in rummy?
No. It helps you make better decisions over many hands, but any single hand can go either way.
Can I play rummy for real money on DuraGaming?
No. DuraGaming is a social casino. You play with the virtual currency Dura, which can’t be converted into real money.
Related guides
Probabilities calculated for 13-card rummy with two decks and two printed jokers. Table rules vary, so check yours.