Mega Millions, how many combinations

Discussion in 'Off Topic' started by Mayfriday0529, May 26, 2004.

  1. Mayfriday0529

    Mayfriday0529 Diamond Member

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    Anyone know how many possible number combinations there could be in the MEGA Millions lottery.
    You have to pick 5 numbers from 1-52 and then mega ball from another set of 1-52.
     
  2. StageLeft

    StageLeft No Lifer

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    52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.
     
  3. Mayfriday0529

    Mayfriday0529 Diamond Member

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    So thats why i didnt win last night :(
     
  4. Viper GTS

    Viper GTS Lifer

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    No, it would be:

    52 x 51 x 50 x 49 x 48 x 52 = 16,217,510,400

    More specifically one in, but you get the picture.

    Viper GTS
     
  5. Mayfriday0529

    Mayfriday0529 Diamond Member

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    16 billion combination jeez
     
  6. StageLeft

    StageLeft No Lifer

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    Let's put it this way: If every single person on the planet of 6 billion entered and they all had different numbers so that no two people were using the same one, there would be a prize winning only every third occasion that there was a drawing.
     
  7. StageLeft

    StageLeft No Lifer

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    You're not allowed to pick the same number on each of the 52? I guess I don't play the lotto enough to know that :)
     
  8. profmath

    profmath Junior Member

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    Not exactly right. Since you can't pick the same number twice it is actually 52C5 (thats 52 choose 5) then *52 for the powerball. Actually calculates to a 1 in 135,145,920 chance.

    The popularity of the lottery is proof that the US is becomming more mathematically retarded.
     
  9. Mayfriday0529

    Mayfriday0529 Diamond Member

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    I see the odds on the website for lottery same as you posted. so its 135 millions combinations instead of 16 billion correct? if it is makes me feel better.
     
  10. profmath

    profmath Junior Member

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    Srry Viper but I don't think that the lottery cares what order that the numbers are in so your way(permutations) is incorrect.

    Here is good info

    Math Help
     
  11. Viper GTS

    Viper GTS Lifer

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    Mine would be for picking them in the same order as they did, if the order doesn't matter then the math is beyond me (never had any probability).

    Viper GTS
     
  12. ElFenix

    ElFenix Super Moderator and Elite Member
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    after a certain point each lottery gets to an even bet. i buy tickets starting at that point.
     
  13. profmath

    profmath Junior Member

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    The lottery is NEVER and even bet. Odds are always 1 in 135 million
     
  14. StageLeft

    StageLeft No Lifer

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    But if you're choosing 5 numbers between 1 and 52, and you can't repeat, then viper's math sounds good to me. I don't know how you come up with 135 million? Even without the final X 52, you've still got 311 million.
     
  15. StageLeft

    StageLeft No Lifer

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    Yep, and with people thinking like Elfenix "I don't buy tickets unless the lotto is such and such", then all you end up doing is splitting the winnings.
     
  16. StageLeft

    StageLeft No Lifer

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    Oh, order doesn't matter, so I guess that's why viper's number is too high. OK :)
     
  17. ElFenix

    ElFenix Super Moderator and Elite Member
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    do you know what an even bet is?
     
  18. ElFenix

    ElFenix Super Moderator and Elite Member
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    thats the rub, doesn't always happen though.
     
  19. Krazy4Real

    Krazy4Real Lifer

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    Aren't the chances of getting struck by lightning greater than winning the lotto?
     
  20. edro

    edro Lifer

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    Any site that gives some probability of extremely rare things happening? At work, we play 20 tickets, twice a week, so we have a .000000147% chance of winning (20/135mil).

    I wanna compare this chance to something in actual life... like a baby having 28 fingers, or a meteor hitting Earth... stuff like that. :D
     
  21. GasX

    GasX Lifer

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    The problem is that you aren't guaranteed the whole pot. If the pot is at $500 million, you'd be all over that ticket. When 10 people won and you only got $50 million, you'd feel like a loser for making that sucker bet...
     
  22. profmath

    profmath Junior Member

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    Yes an even bet is one that you have a 50% chance of winning.

    A bad bet is one that you have less than a 50% chance of winning.....like the lottery or you being right on this.
     
  23. ElFenix

    ElFenix Super Moderator and Elite Member
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    no, an even bet is when the cost is equal to the expected payout. if the expected payout of mega millions is $135,145,920 and the cost is $1 then your expected value is $1 assuming only 1 person wins. since there is a chance of multiple winners the even bet point needs to be adjusted upward by that chance, but it is still there. and it's actually lower than that because there are minor prizes that have a better chance of being won (picking 5 balls and whatnot).
     
  24. Ogg

    Ogg Diamond Member

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    :Q
     
  25. StageLeft

    StageLeft No Lifer

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    Could it not apply to the situation where a lottery has built up to such a high level that the total winnings will equal the total income from ticket sales, thus meaning that from a grand perspective, it's an even bet? Obviously the lotto company would have reaped huge rewards from all of the unwon games, and never will lose. But, if odds are one in 135 million and the total winnings are now up to 59 trillion dollars, then you could drop a billion on them and that's a damn good investment, so it would be a statistically wise thing to do.

    Anyway, I still think that as lottos increase in wealth the number of ticket buyers more than makes up for it, so it's probably a _worse_ idea, from a money-back standpoint, to wait until the lottos have grown really large.