The Math Behind TOTO – Here’s Why It (Statistically) Doesn’t Make Financial Sense To Play

One of the biggest betting prizes in Singapore is the TOTO. The Group 1 prize has a minimum guaranteed amount of $1 million, and prizes can snowball if there are no winners. If there are still no Group 1 winners after the three consecutive draws, the fourth draw will not only snowball to a higher amount but also become a cascade draw, where if there’s again no Group 1 winner, the prize will be paid to the next group with winners.

For example, the TOTO draw on 28 August 2025 was a cascade draw. On that occasion, there were three Group 1 prize winners, each taking over $4.1 million – making the Group 1 prize over $12.5 million. While the prize pot had snowballed, it did not cascade as there were Group 1 winners.

The biggest Group 1 prize ever was on 11 February 2022, where the Group 1 prize pot was over $19.4 million. There ended up being 8 winners – who took over $2.4 million each. The biggest ever Toto prize pot won by a single ticket was on 9 May 2024, where the Group 1 prize pot was over $13.1 million.

Read Also: New Toto Match Game: Are The Odds Better Than Classic Toto

You Will Always Lose Money Playing TOTO In The Long Run

While we agree that it might be fun to buy “hope” (as we ourselves buy the odd ticket ourselves), it is also true that Singaporeans are better off abstaining from TOTO bets altogether. So, it could be acceptable to stake a few dollars if you’re in for the thrill, but you should never pour large amounts of money regularly in hopes of becoming an overnight millionaire.

For a start, only 54% of the sales in each draw will be added to the prize pool. So, for every dollar bet on TOTO, $0.46 does not even make it into the overall prize pool. The Jackpot or Group 1 prize itself comprises just 38% of the prize pool.

Read Also: What Happens To The Money That You Bet (And Lose) When Gambling With Singapore Pools

Recap Of The TOTO Rules

For those who don’t know how to play TOTO, here is quick summary of the key rules.

1) You pick at least 6 numbers between 1 and 49, paying a minimum of $1. You can also choose to pick more numbers, up to 12 numbers, and pay more for a better chance of having a winning set of numbers.

2) During each draw, 6 Winning Numbers and 1 Additional Number are drawn.

3) If your chosen numbers match at least 3 of the Winning Numbers, you win a prize. The amount you receive depends on how many of your chosen numbers match the Winning Numbers.

4) Another important caveat is that if there are more than 1 winner in Groups 1 to 4, prizes will be divided equally among all winners of the group. The prize amounts for Groups 5 to 7 are fixed.

Source: Singapore Pools

5) The the minimum jackpot sum is $1 million, and has a snowball feature – which means prize amounts can grow in the next draw if there are no winners. If there are still no Group 1 winners after 3 consecutive draws, a cascade draw takes place. If there is no Group 1 Prize winner on the cascade draw (i.e. the 4th consecutive draw), the Jackpot amount cascades to the next Prize Group winners to share equally.

What Are The Odds Of Winning The TOTO Jackpot (Group 1)?

When you play TOTO, you do so in hopes of winning the eye-popping top prize. But what are your odds? To answer this question, we dusted off our copy of Schaum’s and refreshed our knowledge on Permutations and Combinations.

We need to match all 6 numbers from a possible list of 49. Since the numbers don’t repeat, there is only 1 possible combination that will yield us the top prize.

Thus, C(49, 6) = 1/13,983,816

In other words, the odds of winning are about 1 in 14 million.

To say these are extremely poor odds would be an understatement. Then again, we humans are bad at gauging immensely unlikely events. One way to think about this is that you would only win the top prize once in every 14 million tries. If you purchased a ticket for every TOTO draw, you’d win once in the next 134,500 years (given there are 2 draws a week, on Mondays and Thursdays).

You could also determine how much value your $1 lottery ticket has to calculate its Net Present Value.

Read Also: What Happens If You Find A Winning Toto Ticket?

Net Present Value Of A $1 TOTO Ticket

The actual odds and prize value can only be calculated once sales close, since only 54% of sales in each draw would be added to the prize pool.

For this calculation, we assume that the prize pool is $28,421,052 – based on $10.8 million being 38% of the prize pool and the Group 1 prize value. We also assume we only buy 1 TOTO ticket and ignore other players for now. In other words, this is how much your TOTO ticket is worth if you were the only one playing.

If we multiply the probability of winning by the prize money and sum up the total probable winnings, we will have a Present Value of $68.57.

Obviously, though, Singapore Pools does not operate the draw just for you to win. When you consider other players and how they affect your winnings, your TOTO ticket’s Net Present Value looks significantly different.

Net Present Value Of A $1 TOTO Ticket (Based On Historical Number Of Winners)

If you recall, the prize money in Group 1, 2, 3 & 4 will be split in the event that there are multiple winners for each group.

Again, it is impossible to calculate the expected value because there is no way to know for certain how many winners there will be in each category. We can, however, use the average of the number of winners from each group in past Hong Bao Draws.

If we take into account that there may be multiple winners, and calculate the present value of our TOTO ticket based on the average number of winners in the past 8 years, we get a very different conclusion:

The expected value has been significantly reduced to $0.54. In other words, we should expect to lose half our money when we buy a TOTO ticket.

This makes it quite clear why it doesn’t make statistical sense to play TOTO. Thus, the real winner of every draw remains Singapore Pools.

The real statistics would be even lower, as the actual prize pots fluctuate from year to year.

Have Fun Responsibly

On a lighter note, the participation in TOTO betting should be one of leisure and a topic with friends and family, especially during the festive Hong Bao draw or large cascade draws. However, if you are thinking about it as a get-rich-quick scheme by pouring substantial savings into TOTO draws, we’ve shown you why you will unlikely be successful.

Let’s exercise a Responsible Play mentality and treat TOTO (or any other form of gambling) as a recreational activity and never as a get-rich-quick-scheme or form of “investment”.