Union Jack Round Robin Calculator

Work out the returns on a Union Jack Round Robin: nine selections in a 3x3 grid with each line played as a Round Robin.

A Union Jack Round Robin calculator works out the total return across nine selections arranged in a 3×3 grid, where each of the eight lines is played as its own Round Robin, giving eighty bets in all.

What Is a Union Jack Round Robin?

A Union Jack Round Robin arranges nine selections in a three-by-three grid and plays each of the eight lines—three rows, three columns, and two diagonals—as a separate Round Robin. A Round Robin on three selections consists of three doubles, one treble, and three up-and-down pairs: ten bets per line. With eight lines at ten bets each, a Union Jack Round Robin contains eighty bets in total, making it the largest and most intricate of the Union Jack family. The key distinction from other Union Jack variants is not just the sheer number of bets but the inclusion of up-and-down pairs, which settle conditionally rather than independently. This conditional settlement creates paths to return that would not exist in a simpler system, and also complicates the mathematics in ways that make the calculator essential rather than optional.

The up-and-down pair is what separates the Round Robin from the simpler Trixie or Patent. A pair consists of two bets: the first stakes on selection A, and if it wins, the returns fund a second stake on selection B. The other bet in the pair does the reverse: it stakes on selection B first, and if that wins, uses the returns on selection A. This means a pair can return money even when the line’s trebles and doubles lose, provided the conditional chain lands—first A then B, or first B then A.

How a Union Jack Round Robin Is Calculated

You lay out nine decimal prices in a 3×3 arrangement. The calculator identifies the eight lines—three rows, three columns, two diagonals. For each line, it computes ten bets: three doubles (each pairing of the three selections), one treble on all three, and three up-and-down pairs where each pair is really two bets that settle sequentially. This is repeated across all eight lines, yielding 80 bets total. The total outlay is eighty times your unit stake.

Each line settles independently. If all three selections on a line win, all ten bets on that line land—doubles and treble pay, and both directions of each up-and-down pair land as full sequences. If two win, the double and some pairs may pay. If one wins, some pairs might pay. If none win, that line loses entirely. The tricky part is the up-and-down pairs: they do not pay unless the conditional sequence lands—first selection wins, then second; or vice versa. A pair where the first selection loses pays nothing, because the returns from that first win were never generated to stake on the second. This sequential nature is why hand calculation becomes tedious and the calculator proves its worth.

What the Calculator Shows You

Enter nine decimal odds and a unit stake, then mark each selection as Win, Loss or Void. The calculator returns two headline figures. Total return is the sum of all payouts across all eighty bets if those results happen—the full amount you receive. Total profit deducts your total outlay to show the net gain. Beyond these, the calculator can show you line-by-line returns, revealing which lines contributed and which lost, and crucially, how the conditional up-and-down pairs settled across the grid.

The calculator also handles voids. A voided selection is removed from every line it belongs to and that line shrinks to a two-selection bet. Marking a selection as Void rather than Lost is important: a loss ends every line it touches and every sequence involving that selection, but a void reduces the lines it appears in to their remaining selections, so you still collect returns from them.

Worked Example

Imagine a Union Jack Round Robin on nine Bundesliga selections, each backed at a €0.20 unit stake. The grid is:

• Row 1: Freiburg to win at 1.60, Mainz to win at 1.90, Augsburg to win at 1.50
• Row 2: Hoffenheim to win at 2.10, Werder Bremen to win at 1.70, Wolfsburg to win at 2.00
• Row 3: Bochum to win at 1.80, Union Berlin to win at 2.40, Heidenheim to win at 1.40

With nine selections, each belonging to multiple lines, the total outlay is 80 × €0.20 = €16.00. If all nine selections win, every line’s treble lands, all doubles land, and all up-and-down pairs land in both directions. The calculator sums all payouts and returns €48.25, leaving a profit of €48.25 − €16.00 = €32.25. Notice how the conditional pairs amplify returns when multiple selections land: the €0.20 unit stake compounds through the up-and-down sequences across eight lines simultaneously.

The Eight Union Jack Lines and Their Combined Treble Odds

The Union Jack Round Robin’s eight lines derive from the grid structure. Each line has a treble combining its three selections. The table below shows the combined odds for each line’s treble:

Each line also contains three doubles and three up-and-down pairs, so all ten bets on each line settle independently once you know which selections win. The treble odds range from 3.81 to 7.75, reflecting the different combinations the grid creates.

What the Ten Bets on Each Line Are

Each of the eight Union Jack Round Robin lines contains ten bets. The table below breaks down the eighty total bets:

Three doubles mean that any pair of winning selections returns. One treble on all three. Three up-and-down pairs means six individual bets structured as conditional sequences: each pair is two bets, the second dependent on the first winning. This structure means a Round Robin rewards selecting multiple winners, because each additional winner unlocks both more multiples and more conditional up-and-down sequences.

How Up-and-Down Pairs Settle

The up-and-down pairs are what make this bet unusual and also much harder to calculate by hand. Each pair consists of two separate bets: one stakes on the first selection and, if it wins, feeds a stake onto the second; the other does the reverse, staking on the second first and rolling returns onto the first if that lands. They settle in sequence rather than independently, meaning a pair can return money even when the line’s treble and doubles all fail—provided the conditional chain lands. If the first selection in a pair loses, that half of the pair pays nothing at all, because the returns from that win were never generated to stake on the second. This conditional settlement means an up-and-down pair is fundamentally different from a double bet, which requires both selections to win. That conditional element is also why the mathematics becomes difficult to follow by eye compared to any other Union Jack format, making the calculator essential rather than optional.

When a Union Jack Round Robin Makes Sense

A Union Jack Round Robin is for bettors who want the largest possible coverage without playing every possible combination individually. At a €0.20 unit stake, the eighty-bet outlay becomes accessible. The advantage over the Patent (56 bets) is the conditional up-and-down pairs: they create return paths that do not exist when only doubles and trebles are available. The disadvantage is precisely that complexity—the conditional settlement requires careful tracking and makes hand calculation impractical. This bet suits bettors comfortable with system bets and confident in multiple selections across a grid. It also suits disciplined bankroll management, because high variance means accepting that most partial results pay poorly relative to outlay. Use it as part of a portfolio of different system bets, not as a standalone play.

Common Mistakes

Treating the up-and-down pairs as ordinary doubles is the most common error; they settle conditionally, one after the other, not independently. Setting a unit stake without multiplying by eighty is another; it is easy to underestimate the total outlay. Assuming the outlay is the same as a Union Jack Patent is a costly mistake: it is eighty bets against fifty-six. Ignoring that a losing first leg kills that half of a pair before the second leg is ever backed means miscalculating return potential on partial results.

The Four Union Jack Variants

The Union Jack Round Robin is the largest of four variants, each playing the same 3×3 grid differently.

The trebles variant plays only the treble from each line. The trixie adds doubles to trebles. The patent adds singles, so one winner produces returns. The round robin extends it to all combinations plus conditional pairs, raising cost and return potential highest. The round robin is the most complex and expensive, suited to bettors seeking maximum coverage and comfortable with system-bet mathematics.