These 27 tickets guarantee a win on the Lottery
Matt_Parker_2・14 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
