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Loto 6 (Japan): a game guide

Japan's Loto 6 is a number-selection lottery in which you choose six distinct numbers from 1 to 43. It looks like Korea's Lotto 6/45, but the numbers in the pool, the price, the tier structure and the carryover differ. In this site's verification registry the number format, price and draw days were confirmed, while a numeric official odds figure was not. So this guide prints the exact odds it calculated itself, and checks by calculation that the prize amounts read on the official site imply a return of about 45%. Japan's lottery allocation structure is covered in How lottery sales are split: Korea and Japan compared.

Format
6 numbers from 43; one draw-only bonus number verified
Price
JPY 200 per line verified
Draw days
Monday and Thursday verified
Jackpot combinations
6,096,454 = C(43,6) (calculated; no official odds figure established) computed by LottoFlick
Prize amounts (no carryover)
1st JPY 200 million; 2nd about JPY 10 million; 3rd JPY 300,000; 4th JPY 6,800; 5th JPY 1,000 partly verified
Carryover cap
up to JPY 600 million when a carryover has occurred partly verified
Payout as a share of sales
Not stated in the sources read; about 45% is implied by the amounts computed by LottoFlick
Supported in this site's tools
Yes: generator, Lottery Explorer, Combination Calculator and Lab computed by LottoFlick

The numbers: 6,096,454 combinations

There are C(43,6) = 6,096,454 ways to choose six distinct numbers from 43 without order, about 25% fewer than Lotto 6/45's 8,145,060. A line therefore has a 1 in 6,096,454 chance of the first prize. This figure is calculated from the number format, not confirmed as an official odds figure.

The draw produces six main numbers and one bonus number. The bonus number is not chosen by the player and is used only in the draw, so it does not increase the number of jackpot combinations. This is the same as the bonus number in Lotto 6/45, and this site's registry records it as a "draw-only bonus".

The distinctive structure: the bonus number decides only the second tier

From a search summary of the official site, tiers are set as follows. The bonus number is used only to decide the second tier.

Loto 6 tiers: conditions, theoretical prizes and exact odds (official site and LottoFlick calculation)
TierConditionPrize (no carryover, theoretical)Winning ticketsOdds (1 in N)
1st6 main numbersJPY 200 million16,096,454
2nd5 main numbers + the bonus numberabout JPY 10 million61,016,075.7
3rd5 main numbersJPY 300,00021628,224.3
4th4 main numbersJPY 6,8009,990610.3
5th3 main numbersJPY 1,000155,40039.2

The counts work like this. The 2nd tier needs five of the six main numbers with the remaining slot being the bonus number: 6 ways. The 3rd tier is five main numbers plus one of the 36 numbers that are neither main nor bonus: 6 × 36 = 216. The 4th tier is C(6,4) × C(37,2) = 9,990 and the 5th is C(6,3) × C(37,3) = 155,400. Adding the winning tickets of all tiers gives 165,613, and dividing by the total of 6,096,454 gives about 2.72% (1 in 36.8). According to the notice, a ticket that qualifies for several tiers is not paid twice, the higher tier taking priority, and if no tier has a winner the draw is repeated.

The prize amounts are the notice's "theoretical values". Actual amounts vary with each round's sales and the number of winning lines (greatly for the 1st and 2nd tiers), while the 4th and 5th are described as fixed in principle. The page gave no date for these amounts, so we have them only as of the time of the search summary.

Carryover: when nobody wins the first prize

According to the official notice, the totals of tiers with no winner, and amounts above a per-line cap, are carried over to the next round's first prize, and in a round with a carryover the first prize can rise to a maximum of JPY 600 million. Without a carryover the first prize is JPY 200 million (theoretical). This works in the same direction as Korea's rollover, but note the cap: however long it rolls, the top first prize does not exceed JPY 600 million. When this cap took effect and the details of the rule (how many rounds a carryover may last) we could not confirm.

The return implied by the prize amounts

Multiplying the published theoretical prizes by the exact odds above and adding gives the expected prize per line.

The total is about JPY 89.9, 44.95% of the JPY 200 price, so about 45%. That is close to the average prize share for Japanese lotteries overall (46.5%) shown in the Tokyo Metropolitan Government document. We did not confirm an official prize share for Loto 6 alone. The 45% is "the expected value when the theoretical prizes apply unchanged with no carryover", about 5 percentage points below Korean Lotto 6/45's 50%.

Compared with Korean Lotto 6/45

Loto 6 and Lotto 6/45
ItemLoto 6 (Japan)Lotto 6/45 (Korea)
Pool and picks6 from 436 from 45
Jackpot odds1 in 6,096,4541 in 8,145,060
Chance of any prizeabout 2.72%about 2.38%
Drawstwice a week (Mon, Thu)once a week (Sat)
Price per lineJPY 200KRW 1,000
Prizes as share of salesabout 45% implied by the amounts50% (statutory floor)
Carryoveryes; first prize up to JPY 600 million after a carryoveryes; first-prize rollover

Worked examples: what 6,096,454 means in practice

With p = 1/6,096,454 for the first prize, a few calculations make the scale concrete. All are exact arithmetic on the format, not forecasts.

These numbers are not a reason to play or not to play, only a way to see the size. The expected value, around 45 yen back for every 100 yen spent as computed above, is the better summary of what a line is worth on average.

Monday and Thursday: what more draws mean

Loto 6 draws twice a week, so the same line meets the drum more often than a weekly game. That does not mean it "wins more often". A single line in a single draw has exactly the odds of the game, whichever schedule applies. More draws also mean more spending over the same period, so the expected loss per period grows in the same proportion. Comparing games by draw frequency and jackpot odds alone says nothing about which is better; price and expected value have to be read together, and this guide does not rank games. The effect of a rollover that enlarges the prize is calculated in the rollover ticket expected value.

On this site

What we could not verify

Lottery outcomes are random, and understanding odds does not change the probability of a particular ticket. Set a spending limit and check local age and participation restrictions. This site does not sell lottery tickets.

LottoFlick is independent and not an official lottery operator. Numbers are random and cannot be predicted.

Sources and verification