Simulators

Gold Ball Simulator: Draws Until the Gold Ball

Watch the Gold Ball drum empty draw by draw, run many cycles and compare their length with the exact numbers below.

Loading the simulator

Woman dropping white balls into a tube, holding a gold ball

How the Gold Ball drum works

Full drumA cycle starts with thirty prize balls: twenty-nine white balls and one gold ball.
One ball per drawOn each draw date one ball is drawn. It sets the prize for the winning Gold Ball Draw Number.
White ball drawnThe winner gets the fixed white-ball prize. That white ball is removed, so the drum has one ball fewer.
Gold ball drawnThe winner gets the Gold Ball Jackpot. The cycle ends and the drum starts again with all balls.

Cycle length

Median cycle

15 draws

Half of all cycles end by this draw, half last longer.

Mean cycle

15.5 draws

The average over very many cycles. The simulator's average moves toward it as cycles add up.

Each length equally likely

1 in 30

From the start of a cycle, the gold ball is as likely on the first draw as on the last.

Longest possible cycle

Thirtieth draw

With one ball left, it can only be gold: the chance is 1 in 1.

Where cycles end

Cycle ends on	Exact chance
First to fifth draw	1 in 6
Sixth to tenth draw	1 in 6
Eleventh to fifteenth draw	1 in 6
Sixteenth to twentieth draw	1 in 6
Twenty-first to twenty-fifth draw	1 in 6
Twenty-sixth to thirtieth draw	1 in 6

All bands have the same chance, so after many cycles the simulator's histogram should look flat.

Chance for the next draw

Chance the next ball is gold = one divided by the number of balls left in the drum

Example: For example, with twenty balls left, the chance is 1 in 20.

Chance by balls left

Balls in drum	Draw in the cycle	Chance next ball is gold
Thirty (full)	First	1 in 30
Twenty-five	Sixth	1 in 25
Twenty	Eleventh	1 in 20
Fifteen	Sixteenth	1 in 15
Ten	Twenty-first	1 in 10
Five	Twenty-sixth	1 in 5
Three	Twenty-eighth	1 in 3
Two	Twenty-ninth	1 in 2
One	Thirtieth	1 in 1

See every row and the current drum on 6/49 Gold Ball odds.

Two ways to read the chance

Looking at the next draw

Counts only the balls still in the drum
Rises as white balls are removed
Goes from 1 in 30 to 1 in 1

Looking from cycle start

Asks on which draw the cycle will end
Every draw has the same chance
Each one is 1 in 30

Sources

OLG – Lotto 6/49 Game Conditions · checked Oct 29, 2026
OLG – Conditions de jeu du Lotto 6/49 · checked Oct 29, 2026

Questions

How long does a Gold Ball cycle last?

From the first draw up to the thirtieth. The exact median is 15 draws and the mean is 15.5 draws. Each single length has the same chance, 1 in 30.

Does the gold ball get more likely with each draw?

For the next draw, yes. Each white ball drawn is removed, so the chance rises from 1 in 30 with a full drum to 1 in 1 with one ball left.

When in a cycle is the gold ball most likely to appear?

Seen from the start of a cycle, no draw is more likely than another: each has 1 in 30. A later draw has a higher chance only once the earlier white balls are already gone.

Does the number of balls left change my chance to win the Gold Ball draw?

No. The balls left decide only which prize the winning Gold Ball Draw Number receives, not whose number is selected. More tools are on lottery simulators.