How Many Tiles Away Are You in American Mah Jongg?

To find how many tiles away you are in American Mah Jongg, match your rack to one line on the current NMJL card and count the required tiles you do not yet hold. Count substitutions carefully: one incoming tile can fill only one missing position, and jokers can help only in groups of three or more identical tiles—not in singles or pairs.

What does “tiles away” mean in American Mah Jongg?

Your distance from Mah Jongg is the minimum number of tile replacements needed to turn your current rack into a valid 14-tile hand on the NMJL card. Players commonly describe a rack as “one away,” “two away,” or “three away.”

• One away: 13 tiles can already be assigned to the chosen line; one required tile is missing.
• Two away: two current tiles must be replaced by two required tiles.
• Three away: three replacements are needed.

This is not simply the number of tiles that look unrelated. Every tile must occupy a specific position in the target pattern, including the required suit, number, flower, wind, dragon, and group size. Players still need the current NMJL card to identify the exact legal hand.

How do you count your distance step by step?

Use this process for each realistic card line:

1. Choose one exact line. Include the correct variation, suit assignment, and open or concealed requirement.
2. Assign matching natural tiles first. Place each tile from your rack into only one required position.
3. Assign usable jokers. A joker may represent a tile in a pung, kong, or quint, but not a single or pair.
4. Count the empty positions. That number is your current distance from the hand.
5. Check availability. Exposed and discarded copies can make a mathematically close hand practically impossible.

A simple worksheet looks like this:

The pair needs one natural tile because a joker cannot complete a pair. The kong needs one matching natural tile or a usable joker. Together, those two empty positions make the rack two away.

How should jokers change the count?

Treat jokers as flexible only where the card permits a group of three or more identical tiles. A rack can look one away but actually be two away if a joker has been mentally assigned to a pair.

For example, suppose your chosen line requires a pair, a pung, and several other completed groups. You hold one tile toward the pair, two natural tiles toward the pung, and one joker. Correctly assign the joker to the pung; you still need one natural tile for the pair. You are one away. If the pung were already complete without the joker, the joker could support another eligible large group, but it still could not stand in for the missing half of the pair.

Also count a possible joker exchange honestly. If another player has exposed a joker that you can replace with its matching natural tile, that exchange may improve your rack—but do not count the joker as yours until you actually make the exchange on your turn.

Why can two hands at the same distance have different odds?

Distance is the starting point, not the full strategy. Two card lines can both be two away while one has a much better chance of completion. Compare these factors:

Imagine two choices are each two away. Hand A needs one natural tile for a pair and one tile for a kong. Hand B needs two tiles for large groups where jokers are legal. Hand B may be more flexible because either natural tiles or jokers can fill both gaps. But if most natural copies for Hand B are already visible, Hand A can still be the better route.

When should you recount during the game?

Recount after any event that changes your rack or the availability of key tiles:

• after the Charleston and courtesy pass;
• after making or changing an exposure;
• after exchanging for a joker;
• when a needed tile becomes visibly dead;
• when you draw a tile that opens a stronger card line;
• when the wall becomes short and defense matters more.

Use a quick two-column comparison: identify your best hand and one backup, calculate the distance to each, then note which missing tiles must be natural. This prevents a common intermediate mistake—staying committed to a hand that is close on paper but relies on an unavailable pair.

How Bird Bam helps at the table

Counting distance helps you make decisions during a hand; clear scorekeeping helps the group move cleanly into the next one. Bird Bam is an iOS American Mah Jongg scoring and community/group-play app that helps players keep score, track hands and games, and reduce the paper-and-pencil friction that can interrupt play. It complements rather than replaces the current NMJL card.

If your group wants cleaner scorekeeping while everyone focuses on hand selection and time together, Bird Bam is a practical iOS companion for the table.

Frequently asked questions

Does drawing a useful tile always move you one tile closer?

No. A useful tile reduces your distance only if it fills a currently empty position in the exact target hand. If it duplicates a group that is already complete or cannot be used in the required pattern, your distance does not change.

Can one joker make me one tile closer?

Yes, when it fills one position in a required pung, kong, or quint. It cannot reduce the distance to a missing single or pair.

Should I choose the hand with the lowest count every time?

Not automatically. Start with distance, then compare live copies, natural-tile requirements, joker flexibility, exposures, and the number of draws left. A live three-away hand can be more achievable than a two-away hand whose required pair is nearly unavailable.

Do exposures count as part of my 14-tile hand?

Yes. Correct exposures are part of the final 14-tile hand and should be included when calculating distance. Make sure every exposure matches the chosen card line's group size, tile identity, and open-hand rules.