These 27 tickets guarantee a win on the Lottery

Matt_Parker_22 minutes read

Buying 27 tickets for the UK National Lottery ensures a win, but not always the main prize, using mathematical strategies like the pigeonhole principle and Fano planes. This method offers a 1.5% chance of making a profit, encouraging an appreciation for math over gambling.

Insights

  • Buying 27 tickets for the UK National Lottery ensures a win, though not necessarily the jackpot, with a 1.5% chance of making a profit.
  • Utilizing the Fano plane and the pigeonhole principle, this mathematical strategy guarantees a win by covering all possible number combinations with 27 tickets, emphasizing the importance of appreciating math over gambling.

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Recent questions

  • How many tickets are needed to guarantee a win on the UK National Lottery?

    27 tickets

  • What is the smallest prize you can win in the UK National Lottery?

    Matching two numbers

  • What is the chance of making a profit with the strategy of buying 27 tickets for the UK National Lottery?

    1.5%

  • How many numbers must you select in the UK National Lottery to win a prize?

    Six numbers

  • What mathematical concept is utilized in the strategy for winning the UK National Lottery?

    Pigeonhole principle and Fano plane

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Summary

00:00

"Win UK Lottery with 27 Tickets"

  • To guarantee a win on the UK National Lottery, you need 27 tickets.
  • In the UK National Lottery, there are 59 numbers, and you must select six to win a prize.
  • Buying 27 tickets guarantees a win, but not necessarily the main prize.
  • The smallest prize you can win is matching two numbers.
  • 75% of the time, you'll only match two numbers, and 23.5% of the time, you'll match three numbers.
  • There's a 1.5% chance of making a profit with this strategy.
  • The mathematical strategy involves ensuring that for any new set of six numbers, there's at least one set with at least two matches.
  • The strategy uses a finite projective plane, specifically the Fano plane.
  • By using multiple Fano planes, you can cover all possible number combinations with 27 tickets.
  • The strategy guarantees a win by utilizing the pigeonhole principle and mathematical calculations.

15:12

"Dog, Disgust, Skylab: Math Over Gambling"

  • Camera focused on the dog
  • Mention of being disgusted by something
  • Thanks for watching the video
  • Reference to Skylab
  • Encouragement to appreciate math and avoid gambling
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