Lotteries

Pick-3 Odds: Straight, Box and Pool Payouts

Check the odds of any Pick 3 number for OLG in Ontario and for WCLC: straight or box, how repeated digits change box odds, and how each lottery sets prizes.

Where you play
Your number (3 digits)
Stake per play
Chance your straight bet wins1 in1,000

112 is a pair: its digits can be drawn in 3 different orders, so a box bet on it wins 3 times as often as a straight bet, for a smaller prize.

Price$1
Draws a day1
Return, straight50.0%
Return, Box, 3 orders48.0%

Every bet of WCLC PICK 3

BetChancePrizeReturn
Straight (exact order)1 in 1,000printed: 1,000$50050.0%
Box, 3 ordersAAB · a pair1 in 333.3printed: 333$16048.0%
Straight/box, 3 ordersAAB · a pair1 in 1,000exact orderprinted: 1,000$33049.0%
1 in 500another order$80
Box, 6 ordersABC · three different digits1 in 166.7printed: 167$8048.0%
Straight/box, 6 ordersABC · three different digits1 in 1,000exact orderprinted: 1,000$29049.0%
1 in 200another order$40

Playing every draw at $1 costs about $0.50 a day on average with the best of these bets (Straight (exact order)).

Show the formula

There are 1,000 equally likely draws (000 to 999). A bet covering w of them wins with chance w / 1,000.

orders of 112 = 3! / (repeats!) = 3

return = sum of (chance x prize) / price

Source: WCLC – PICK 3 Game Conditions and Prize Structure Statement, WCLC – PICK games page, WCLC – PICK 2 Game Conditions and Prize Structure Statement · checked 2026-10-29

Amounts in Canadian dollars.

Woman offering three white balls in her cupped hands

Straight vs box

BetNumber patternOrders that matchOdds
StraightAny numberOne exact order1 in 1,000
Box, six-wayAll digits different (ABC)Six orders1 in 166.7
Box, three-wayOne pair (AAB)Three orders1 in 333.3
BoxTriple (AAA)Not offered – straight only–

A triple has only one order. OLG and WCLC accept it for a straight play only.

How box odds are counted

Box odds = straight odds ÷ number of different orders of your digits

Example: For example, a pair like AAB has three orders, so its box odds are 1 in 333.3 instead of 1 in 1,000.

How many numbers have each pattern

All digits different

72.0% of numbers

Pattern ABC. Six orders, so a box bet covers six draws – the six-way box.

One pair

27.0% of numbers

Pattern AAB. Two digits match, so only three orders exist – the three-way box.

Triple

1.0% of numbers

Pattern AAA. One order only, so straight play only.

OLG pool vs WCLC fixed

OLG – prize pool

  • 50% of each draw's ticket sales forms the prize pool.
  • The pool is split among all winning shares, counted per base wager.
  • More winners on the same number means a smaller prize each.
  • On a pair, the straight prize is three times the box prize.
  • Bets: straight or box. Draws twice a day.

WCLC – fixed prizes

  • Each prize is a fixed multiple of the wager, set in the paytable.
  • The prize does not depend on how many people win.
  • Bets: straight, box or straight/box.
  • Straight/box: exact order pays more, any order pays less.
  • Draws once a day.

WCLC share of wagers paid back

BetPaid back as prizes on average
Straight50.0%
Box, six-way48.0%
Box, three-way48.0%
Straight/box, six-way49.0%
Straight/box, three-way49.0%

The rest of each wager is the expected loss. In OLG's pool, prizes total 50% of sales. Read more on changing prize amounts.

Sources

Questions

What are the odds of a Pick 3 straight bet?

A straight play pays if all three digits match in exact order. The odds are 1 in 1,000 for every number, including triples.

What is a box bet in Pick 3?

A box play pays if your digits come up in any order. All-different digits have six orders (1 in 166.7); a pair has three (1 in 333.3). Triples are straight only.

Why do repeated digits change Pick 3 box odds?

A repeated digit cuts the number of different orders. ABC has six orders, AAB three, AAA one, so a box bet on a pair covers fewer draws.

How are Pick 3 prizes set in Ontario?

OLG puts 50% of each draw's sales into a prize pool and splits it among the winning shares, so the prize changes with the number of winners.

Does WCLC Pick 3 pay fixed prizes?

Yes. WCLC's game conditions set each prize as a fixed multiple of the wager. A straight bet pays back about 50.0% of wagers on average.