Union Jack Round Robin Calculator

A Union Jack Round Robin calculator works out returns on the largest Union Jack bet: nine picks in a 3x3 grid, with each of the eight lines settled as its own ten-bet Round Robin for eighty bets total on your American sports slip.

What Is a Union Jack Round Robin?

A Union Jack Round Robin plays each of the eight lines of the grid as a Round Robin: a Trixie plus three up-and-down pairs, ten bets a line and eighty in total. It is the largest and most intricate of the Union Jack family, because the up-and-down pairs settle conditionally rather than as ordinary lines.

The nine picks sit in a 3x3 grid, and the eight lines come from that shape: three rows, three columns, and two diagonals. Each line is treated as its own Round Robin covering three selections, which is why the bet multiplies out to so many wagers. Inside each line, the Round Robin breaks into three doubles, one treble, and three up-and-down pairs. An up-and-down pair stakes on one pick first and, only if it wins, rolls the return into a stake on the second pick, then repeats the process in reverse for the other half.

Because every one of the eight lines carries this same structure, the Union Jack Round Robin ends up as eighty separate bets built from just nine selections. That density lets bettors generate returns from almost any combination of winners across the grid, and it is why the calculator is the sensible way to check the numbers rather than working them out by hand.

How a Union Jack Round Robin Is Calculated

The formula behind this bet is straightforward: 8 lines x 10 bets (3 doubles + 1 treble + 3 up-and-down pairs of 2 bets) = 80 bets, and the total outlay is 80 times your unit stake. Every one of the eight lines in the 3x3 grid is treated identically, so the calculator repeats this same ten-bet Round Robin logic eight times and adds the results together.

Within a single line, three selections generate three doubles and one treble the way a Trixie does, priced from the decimal odds you enter for each pick. The up-and-down pairs work differently: each pair is two bets built from two selections, one bet staking on the first pick and, if it wins, funding a stake on the second, while the other bet does the same thing in reverse order. Because each half depends on its first leg winning before the second leg is staked, a pair can produce a return even when the treble and doubles on that line miss completely.

With nine selections across the grid, the calculator applies this same doubles-plus-treble-plus-pairs structure to each of the eight lines, sums the ten bets per line across all eight, and arrives at the eighty-bet total. Your total outlay is simply eighty multiplied by your unit stake, and the total return is the sum of what each of those eighty bets pays out based on which of the nine picks actually won.

What the Calculator Shows You

Once you have entered the nine prices and marked each selection as a winner or loser, the calculator shows your total outlay across all eighty bets, based on your unit stake, and the total return if those results hold across the whole grid. It also breaks the eighty bets down by type, so you can see how many of the doubles, trebles, and up-and-down pairs contributed to the return. Because the up-and-down pairs settle in sequence, the calculator handles that conditional logic for you, only crediting the second stake in a pair once the first leg has won. The result is a total profit or loss figure for the whole bet, letting you see at a glance whether the grid returned more than your outlay.

Worked Example

Take a Union Jack Round Robin on nine NHL moneyline picks at a $0.20 unit stake. The grid holds three rows of three selections each: Panthers to win (1.60), Oilers to win (1.90), and Avalanche to win (1.50) in the first row; Bruins to win (2.10), Rangers to win (1.70), and Golden Knights to win (2.00) in the second row; and Lightning to win (1.80), Hurricanes to win (2.40), and Stars to win (1.40) in the third row.

Those nine selections generate the eight lines of the grid, each played as its own ten-bet Round Robin, for eighty bets in total. At a $0.20 unit stake, the total outlay across all eighty bets is $16.00.

If every one of the nine picks wins, the doubles and trebles on every line land, and every up-and-down pair completes both of its legs successfully, since each pair’s first leg winning is exactly what triggers the second stake. Under that all-win outcome, the Union Jack Round Robin returns $48.25 in total. Against the $16.00 outlay, that is a profit of $32.25.

This example shows why the Round Robin structure across all eight lines matters: the return is not just the payout on nine straight winning picks, it is the sum of every double, treble, and up-and-down pair across the grid, each priced from the decimal odds you entered. Even a single pick missing would change several of the eighty bets at once, since that pick appears in multiple lines and multiple up-and-down pairs, which is exactly what the calculator is built to handle for you.

The Eight Union Jack Lines and Their Combined Treble Odds

Each of the eight lines in the grid produces its own treble, and the combined odds for that treble depend on which three of the nine selections make up the line. Rows, columns, and diagonals each pull from different parts of the grid, so no two lines share the same combined price even though every line draws from the same nine picks.

What the Ten Bets on Each Line Are

Every line in the grid breaks down into the same ten bets: three doubles, one treble, and three up-and-down pairs, which are themselves two bets each and so account for six of the ten. That mix repeats identically on every one of the eight lines, so multiplying it out across the whole grid is what produces the eighty-bet total shown below.

Why the Up-and-Down Pairs Settle Differently

The up-and-down pairs are what make this bet unusual. Each pair is two bets: one stakes on the first pick and, if it wins, feeds a stake onto the second; the other does the reverse. They settle in sequence rather than independently, so a pair can return money even when the line’s treble and doubles all fail. That conditional element is also why the math is harder to follow by eye than any other Union Jack, and why the calculator is worth using rather than estimating.

Because each up-and-down pair depends on its first leg winning before the second leg is backed, one selection can ripple through several bets at once. A pick that loses does not just cost you a double or a share of a treble; it also kills the half of any pair where that pick was staked first, before the pair’s second leg was ever placed. Meanwhile the other half of that same pair, where the losing pick was staked second, may already have returned money if its own first leg won. This is why the eighty bets cannot be evaluated as identical, independent wagers: the up-and-down pairs carry a sequence that ordinary doubles and trebles do not, and the calculator applies that conditional logic consistently across all forty-eight up-and-down bets in the grid.

When a Union Jack Round Robin Makes Sense

A Union Jack Round Robin suits a bettor who has genuine opinions on nine separate outcomes and wants a single grid that keeps paying out even if several of those nine picks miss. Because the bet is built from eighty separate wagers spread across doubles, trebles, and up-and-down pairs, it does not require every selection to win the way a straight accumulator does, and the up-and-down pairs in particular can return money from partial success that a simple multi-leg parlay would miss entirely.

The tradeoff is cost and complexity. Eighty bets at even a modest unit stake add up quickly, and the structure is hard to reason about without a calculator, since the same nine picks feed into rows, columns, diagonals, and forty-eight sequential up-and-down bets at once. Bettors who want simpler exposure to the same selections should look at a smaller Union Jack variant, such as the Trixie or Patent version of the same grid, which use fewer bets per line.

This bet works best as a considered, planned position on a full slate of games, such as a night of NHL moneyline picks, rather than as a quick in-play wager. Because the calculator handles the conditional settlement of the up-and-down pairs and the summation across all eight lines, it removes the guesswork from a bet type that is otherwise very easy to misjudge, letting the bettor focus on picking the nine selections rather than tracking eighty outcomes by hand.

Common Mistakes

A common error is treating the up-and-down pairs as ordinary doubles, when they actually settle conditionally, one leg after the other. Bettors also often set a unit stake without multiplying it out across all eighty bets, underestimating the true outlay. Another mistake is assuming the outlay matches a Union Jack Patent, when the two bets are eighty bets against fifty-six. Finally, it is easy to overlook that a losing first leg kills that half of an up-and-down pair before the second leg is ever backed, changing how much of the grid can still pay out after one selection loses.

Union Jack Round Robin vs the Other Union Jack Variants

The Union Jack Round Robin is the largest of four related variants built from the same 3x3 grid, differing only in how many bets each of the eight lines contains, from a single treble up to the full ten-bet Round Robin structure shown below.