Philippine Lotto Probability – How to do the Calculations

Posted: May 21, 2008 in Lotto and Swertres Tips
Tags: , , , , ,

To truly understand how Philippine Lotto odds are calculated we first need to understand basic law of probability. Probability is important because it tells us how many times a particular number or combination of numbers should occur over time.

To simplify this example we will use a single dice cube as an example.
If you were to roll a dice what would be the chances of rolling, say a two? Because there are 6 possible numbers that could be rolled on the single dice and since only one of them can appear on a single roll then you have 1 chance in 6 (1/6). Pretty easy so far!

Now lets work out the odds of a combination of different numbers occurring?
What would be the chances of rolling a two or a six? In this case the chances of rolling a two are 1/6 and the chances of rolling a six are 1/6. Therefore you simply ADD the two outcomes: 1/6 + 1/6 = 2/6 or 1/3. Therefore the chances are 1 in 3 of rolling either a 3 or 6. Still pretty simple.

What would be the odds of rolling a two on two consecutive rolls of the dice? In this case the odds are MULTIPLIED together. Thus we have 1/6 × 1/6 = 1/36. Thus the chances of rolling a two on 2 consecutive rolls is 1 chance in 36.

Ok, So how does this work with lotto?
The calculations are the same; we simply expand the above theory.
If we select 6 numbers and the game has 50 numbers in the pool the odds are calculated as follows.

* The odds of having the first number drawn are simply 6 in 50 (6/50).

* Since we have already picked one of our six numbers and there is one less number in the pool that can be picked, then there are only five of a possible 49 numbers left in the pool that can be drawn. Therefore the odds of having the second number drawn is 5 in 49 (5/49).

* Since we now have four of our six picks left and there are now only 48 balls left in the pool to be drawn, the chances of getting the third is 4 in 48 (4/48).

* We now have three of our six picks left and only 47 balls left in the pool to be drawn. Therefore the chances of getting the forth number is 3 in 47 (3/47).

* With two of our six picks left and only 46 balls left in the pool. The chances of getting the fifth number are 2 in 46 (2/46).

* With only one of our six picks left and only 45 balls left in the pool, the chances of getting the last number is 1 in 45 (1/45).

To calculate the odds of picking all six numbers we multiply the individual odds together to get the overall odds: 6/50 × 5/49 × 4/48 × 3/47 × 2/46 × 1/45 = 720/11,441,304,000 or 1/15890700 (1 chance in 15.89 million).

The standard formula used to calculate odds is as follows:
Odds = Fac(x) ÷ [Fac(n) × Fac(x – n)].
What the variables mean are;
* Fac( ) means factorial, which means multiplying a number out by all of its factors. For example Fac(6) would be 6 x 5 x 4 × 3 × 2 × 1 = 720
* x = the number of balls in the game pool (in the above example, 50).
* n = the numbers allowed to be chosen (in above example, 6).
Thus in a 6/50 lotto the odds as follows:
Odds = Fac(50) ÷ [ Fac(6) × Fac(50-6)] = 1/15,890,700: the same as the long hand calculation performed above.

Advertisements
Comments
  1. cinderella says:

    hi! pusoy na sad…naa moi pra sa 4pm ug 9pm…pang-enrol lang sa tolo ko nga anak….pls…

  2. cinderella says:

    pkitext lang sa number nako…09483601752…salamat daan…

  3. Jm says:

    140,527,823. . ,
    tay e neny0. ‘for 3 days Lang nAh xA. ,

  4. JOHNWIN says:

    JM, KAR0N NA SUGOD? HEARING NA JM? MAAU UNTA M0GAWAZ NA BSAG RAMBOLITO LNG KY WLA KO BUDGET, ASA MAN PNKA DBEST ANING 2LO?

  5. mga pare maghinaut ko nga d ninyo ihikaw ang tabang nyu bsag pinaagi lng sa mga sa number sa swertres kamo mkatabang ky akong mother nawala na sa kalibutan tua pa sa hospitalug d mkoha ky la mi kwarta busa dre rako nagpaka takos sa pagpangayu sa inyong tabang bsin na lng kamo maka tabang pinaagi lng sa swertres so pls lng gae ko sa number nga mga igsoon ko ……ug daghan salamat sa inyong tanan.ang inyong kabus nga igsoon ryan saberola…….cel #09991796370..

  6. aries says:

    tagae ko swertres luoy mo!!!!!!!!!!!!

  7. aries says:

    bigyan nyo po ako ng swertres no. pampaenrol at pambili ng gamit sa 5 kong anak!!! maawa kayoa!!!!! 09187723656…GOD BLES

  8. jackie says:

    magpost na kayo numero nyo, pang enrolment na

  9. jackie says:

    text kayo ha 09265219586 share nyo numero nyo

  10. ianz228 says:

    unsay ni result sa 11am ug 4pm????

  11. ianz228 says:

    naay laki n hatag namo ug num..
    ka lima sya na daug
    mao ni iya gi hatag
    941 ug 924
    941 924
    941 924

  12. ianz228 says:

    941 924 ambot lang
    pero mo ni iya hatag…
    maintain daw

  13. ianz228 says:

    wat n gawas s 5pm????

  14. lella says:

    maayo unta kon makakuha ug share sa 6/55 not too big but big enough para masolve akong problema unya makapatambal ko sa akong anak sa iyang sakit sa heart ug sa akong sakit pud.

  15. fol says:

    gud pm all.. ngau ko hearing lotto beh?? for 2morrows draw.. k ako bayad tuition.. slamat daan pra ugma.. etx lang sko num.. 09061954239.

  16. dudzkie says:

    pls sir maam .kung meron po kayo jan hearing number ,pakitulongan nyu po ako,,pang tuition lng po at sa isang anak ko rin,, nag work kasi ako ngaun tapos ng scul… salmat po ito ung number ko,,09485136839..im dudz from cebu

  17. lynn says:

    kinsay malooy diri manghatag ug numero para maka pamasahe ko pauli.txt lang sa 09263975858. daghang salamat sa malooy

  18. Jesier Caro says:

    338; 328; 553; 335 try lng…

  19. Cita says:

    Ak0 pd mangayo ko sure number or maintain..bsta sure lng,tnx

  20. TEDDIE says:

    PCSO PAHINGE NG SWERTRES NUMBER…PANGGAMOT NANG LOLO KO….TNX…..JUST TEXT THIS NUMBER….09075221546

  21. TEDDIE says:

    PLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  22. pwede hingi ng swertres no.for tonight..badly need it lang jud..thanks..heres my cel no. 09279540661..

  23. madmax696 says:

    pcso can u give me a sure #…kahit rambol ok na…..ito yung cel #09231430822

  24. bundaki says:

    patikim naman ng panalo kahit isang besis lng hndi pa ako nakatikim ng panalo ito po number ko sure number plzzzzzzzzzzzzz 09333642828 tnks daan dudzzzz cebu

  25. lucky girl says:

    ask ko number sa lotto diri

  26. 09265910426 says:

    Can you please help me guys, Kelangan lang po ng pera..

  27. sana pahingi number swertres 1 tym lng para maitulong q sa nanay q my sakit pambili gamot!maraming salamat po.

  28. i2 po ung cp # q 09297791425 pls lng po pahingi number swertres 1tym lang po.para maibili q gamot nanay q.maraming maraming salamat po.

  29. jun says:

    804 9pm result SA GANHAN MOAPEL SA AKNG PONDOK TXT TM09058843324 UG BUTANGI UG LOAD PARA MKARPLY KO NINYO UG DLI KO MOGAMET SA AKNG PRSONAL LOAD PRA RANI SA MGA MEMBER NA WALA TAY MEMBERSHIP FEE NA KWARTA EGO RA MO MHATAG UG LOAD UG MEMBER NAMO SA AKNG PONDOK UG AUTOMATIK NAMO MKADAWAT UG NUMERO OKY..SWERTRES UG JAI ALAI NI AKO …REMEMBER NAA TAY SOURCE ANI OKY

  30. walai kwarta says:

    tagae q # uih,studyante pa q ana wla pjud q kadaog og 3digit maipa tong 8 mka balos pa.hehe