Saturday, October 9, 2010

Is ToTo a Fair Game?

From a mathematical point of view yes ToTo is a fair game with each ball having equal probability of coming out as a winning number in any draw. Singapore Pools has also taken measures to conducts the draws to the highest standards of integrity and security possible. The draw procedures are also regularly reviewed by an independent public accounting firm, ERNST & YOUNG LLP to ensure compliance with best practices and industry control requirements. An average of 200 members of the public attends each ToTo draws to act as witness and to ensure that the numbers are fairly drawn.

However understanding that each ball has equal probability of coming out as a winning number in any draw is not enough. This is because if we only understand this and for those who know or heard about Law Of Large Numbers will easily know what will the winning numbers for the next draw. Cos since it is said that all numbers have equal probability then together with a large sampling size of past historical results, anyone keeping track will be able to see which are the numbers that are not draw the same times as others and these will be the winning numbers.

For example in after 100,000 draws, all numbers had came out 14,282 times expect 07,08,09,10,11,12,13 which only appear 14,281 times. Since all balls have equal probability of being drawn and with Law Of Large Numbers the very next draw should have the winning numbers as 07,08,09,10,11,12,13. But is that the case? Of cos not and this is why.

Other than understanding all balls have equal probability of appearing as the winning number we will need to understand that ToTo result is also a random event. When something is random, any possible outcome out of all the outcomes has an equal chance of happening. In this case, the random event is numbers being drawn and every number has an equal chance of showing up in any particular draw.

Further, in random events, the past has no bearing on the present. So, if a ToTo number has been drawn in the previous draw, it has no effect on the probability of that same number being drawn in the current draw. Yes is a very important fact which many of us had forgotten when playing ToTo and thus end up spending hours of many nights studying past historical data.

So dun worry too much if you have been studying past results but yet to see any patterns cos there is no pattern to notice in the first place. As I always mention treat ToTo as a game and enjoy it. Always remember to play within your means and only play with what you can afford to lose!

-----------------------------------------------------------  
Unauthorized use and/or duplication of this material without express and written permission from this blog’s author and/or owner is strictly prohibited. Contents and links may be used, provided that full and clear credit is given to House Of ToTo with appropriate and specific direction to the original content.

No comments: