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University of Manchester Mathematicians Determine the Minimum Number of Lottery Tickets Needed for a Guaranteed Win

University of Manchester published an article of scientists who have come up with answers and calculated purchasing statistics “lottery” How to get the prize, the article says you have to buy “lottery” How many tickets are required to guarantee that you will win the National Award? of the united kingdom Mathematicians have the answer.

Calculating the cheap rate “lottery” of mathematicians Dr. David Stewart and Dr. David Cushing stated that buying a national lottery Focusing on the Lotto game, it was found that buying 27 lottery tickets was the lowest possible number of lottery purchases. and guaranteed to win prizes But, buying such an amount does not guarantee that you will receive dividends or win prizes.

mathematician Provides methods for calculating from triangular geometry. It is centered around a triangle-like structure called the fano plane. Each point of the structure is plotted with even numbers and connected with lines. Each line creates a set of 6 numbers, which is equal to the number. “Lottery” One ticket requires 2 triangles to cover all 59 numbers and create 27 tickets.

selection “lottery” With this method, it is guaranteed that No matter which of the 45,057,474 numbers is drawn, at least one ticket must contain two identical numbers from all six draws. There must be 1 in 5 numbers on the experimental triangle structure to ensure that the numbers match. Appears on at least 1 ticket.

However, Dr. David Stewart and Dr. David Cushing further stated that Statistical tests are showing that we cannot be right. All 26 lottery tickets can be drawn at the same time.

Although victory is guaranteed But researchers say the potential for profit is very unlikely and should not be used as a reason to gamble.

Source: phys.org

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2023-12-27 04:56:00

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