Philippine PCSO Lotto Probability – How to do the Calculations or Compute?

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).
  • Sincewe 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.

Updated: September 17, 2017 — 9:18 pm

21 Comments

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  1. jessa marie montilla

    Good evening po pahingi naman ng 4diget or swertres para may capital po ako para negoSyo.Hirap kasi rent lang po kami maliit na kwarto 2500 amonth tapos sahod ng Partner ko 350 aday lang po.sana mabigyan nyo po ako 4D o3D.thanks and advance po.God bless,,!

  2. Sir/ma’am pahingi po ng digit number pang 9am,gusto ko pong manalo at makatulong sa pamilya pang puhunan.more power and god bless salamat.

  3. Sir,sana matulongan nyo po ako manalo pls sir bigyan nyo po ako ng no.salamat po at god bless

  4. Sir pahingi nman p nga swertres number.exam na kc ng ank q sa college wala po akong pambayad.pahingi nman po sir.

  5. Sept.
    15 mid.day result.

  6. Pcso main hinge po ako ng number para 9pm today need ko po ng pera pagamot sa tatay ko salamat po ng marame

  7. pahengi po swertes number gusto ko manalo pra sa pamilya ko po

  8. Hello po, pahingi nman po swertres #,,pangpatakod lang nang kuryente..salamat po.. sana mabigyan nyu po ako..

  9. Hello ,pahingi po ng numero,pambili ko ng gamot ,maintain medicine ko po ,please maawa po kayo sa akin,,salamat po

  10. How to co mpute the number tanx

  11. Gud day sir pwede ngayo number gusto ko kinin ang nanay ko pamasahe lng nila. Ty po

  12. Hi po…please pahingi po ako ng 3 digit number na cgurado at pwede ko pong tayaan ng malaki.kailangan po talaga namin ang pera pra sa pagpagawa po ng bahay namin.nakikitira lang kasi kami ngayon sa bahay ng parents ko. sana sa pasko makalipat na po kami sa bahay namin. sana tulungan nyo po ako. maraming salamat po.umaasa po ako sa tulong nyo.

  13. NUMBER PLEASE………..

  14. pcso swertres 3D and lotto 6/45 number. Sana manalo bigay mo. Thanks

  15. pahingi po ng number, pambili ng gamot sir., please….

  16. Pahingi naman nang numero kahit isang beses lang po gusto kung makatulong sa mga magulang ko PangBayad nang utang kahit isang beses lang manalo okey lang yon basta maka tulong lang po Please

  17. Number plssss

  18. Jhovie lhyn Castigador barrientos

    Good morning please pahingi aku numero swertres need financial for enrollment for summer class.thank you

  19. Jhovie lhyn Castigador barrientos

    Good morning please pahingi aku numero swertres need financial for enrollment for summer class.thank you

  20. Good evning poh pwdi po ba makahinge ng number nyo parati po ako tumatayo sa swertress tatlong buwan na poako tumataya kahit isang bisis f sko nanalo kaua po ng hnge ako ng pabor sa inyo na nag bakasakali ako dto pumunta sa site…..para lang makahinge ako ng number sa swertres ngaun hapon kayo lang po makatulong sa akin ako po ay isang kasa.bahay lang…..nais ko lang manalo para makatulong ako sa magulang po….

  21. Hello poh.

    Pahinge poh sure win na number Yong di po kailangan e ramble at di uma abot ng 3 days bago lumabas may gusto poh kasi akong tulogan pero hubby ko lng nag wowork wala kaming extra money taya ako ng taya di naman nananalo eh laki na ng capital ko need na poh kasi nila ng pera

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