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Thread: Help with lottery probabilities and statistics I cant figure out

  1. #1
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    Help with lottery probabilities and statistics I cant figure out

    Hi Guys,
    I have spent some time reading and trying to understand lottery math but can't seem to understand how to get the answers to my question.

    In a basic lottery you have 49 numbers and you choose 7 (7/49) The odds are 49*48*47*46*45*44*43 / 7*6*5*4*3*2*1 = 85,900,584

    Now how about if the lottery was fixed? As in you knew 100% the first number being picked? If the number was 1, 5, or 10, how would you solve that? Knowing the first number is say 5 or 10 greatly reduces odds as the numbers are ranked numerically meaning no other sets of the numbers can be lower than the first number. So a number 10 as the first of seven would mean all 6 other numbers drawn would be between 11-49.

    I just want to understand how to adjust my formula if i know the first number for sure.

    Thanks!
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  2. #2
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    Re: Help with lottery probabilities and statistics I cant figure out

    Quote Originally Posted by showtimegambler View Post
    In a basic lottery you have 49 numbers and you choose 7 (7/49) The odds are 49*48*47*46*45*44*43 / 7*6*5*4*3*2*1 = 85,900,584

    Now how about if the lottery was fixed? As in you knew 100% the first number being picked? If the number was 1, 5, or 10, how would you solve that?
    The three events, 1) the least number is one; 2) the least number is five; OR 3) the least number is ten are mutually exclusive. That is, exactly one of them does occur
    The probability that #2 occurs is $\dfrac{\dbinom{44}{7}}{\dbinom{49}{7}}$

    Now find the other two numbers and add all three.
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  3. #3
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    Re: Help with lottery probabilities and statistics I cant figure out

    Hi Plato
    Thank you for taking the time to respond to my question....however I still have no clue how to solve that equation....can you make it simpler for me? We know there are 7 numbers to be picked and the lowest is 1 5 or 10 I just want to see what the odds of winning are if I know the first number thanks
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