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Thread: Strange Probability in the number of jackpot winners

  1. #1
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    Question Strange Probability in the number of jackpot winners

    It could be my lack of formal understanding of statistics and probabilities, but can anyone find flaws in my calculation and observation below (6/49 lotto) ?

    If 44 ticket holders have matched 5 numbers so far while checking their numbers, how many (among the 44) is expected to match the 6th winning number ? My answer is 1.

    To put the question in another way, if the great Oracle gave you 5 winning numbers and told you to randomly choose the 6th number, what is the probability that you will hit the correct 6th winning number ? My answer is 1 in 44, or you can keep pressing the randomise button on the remaining 44 number up to 44 times...

    In other words, for every 43 five-number winners, we can expect 1 jackpot winner.

    Now look at the actual results of winners in the UK National Lotto:

    - Sat 08 Oct 11 - 636 Match 5 (including 5+bonus), NO jackpot winner.

    - Wed 05 Oct 11 - 261 Match 5, NO jackpot winner.

    - Sat 01 Oct 11 - 595 Match 5, 1 jackpot winner.

    - Wed 28 Sep 11 - 217 Match 5, NO jackpot winner.

    - Sat 24 Sep 11 - 451 Match 5, 1 jackpot winner.

    The same trend for all previous results, and most likely other similar lottery games around the world.

    I'm puzzled.

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    noticed this very same thing months ago.could not find an answer

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    Answering my own question, I have figured out that because there are 6 ways to combine 5 numbers from 6, therefore statistically we can expect only 1 jackpot winner out of every 264 tickets that matched at least 5 winning numbers.

    Lottery is soooo difficult to win...

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