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http://www.reuters.com/article/oddly...58H4AM20090918
SOFIA (Reuters) - The draw of the same six winning numbers twice in a row in Bulgaria's national lottery was a freak coincidence, officials said Thursday.
Sports Minister Svilen Neikov ordered an investigation after the numbers 4, 15, 23, 24, 35 and 42 were selected, in a different order, by a machine live on television on September 6 and 10. The results caused suspicions of manipulation.
An investigation found no wrongdoing in the draw or determining the winners, its chairman Konstantin Simeonov said.
"We cannot talk about any manipulation," he said.
The chance of the same six numbers coming up twice in two consecutive rounds was one in more than 4 million but was not impossible, respected mathematician Michail Konstantinov has said.
An unprecedented 18 people guessed all six numbers when they were drawn the second time and each got 10,164 levs ($7,700). Nobody won the top prize the first time.
The lottery organizers say it is impossible to tamper with the lottery machine. The draws take place in the presence of a special committee and is broadcast live on national television which guarantee no cheating, they say.
"This is happening for the first time in the 52-year history of the lottery. We are absolutely stunned to see such a freak coincidence but it did happen," a spokeswoman said.
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Last edited by 500,000; 01-11-2011 at 03:05 PM.
As I understand from their website, three different variations can be played:
6 out of 35
6 out of 42
6 out of 49
The number of different combinations of N numbers from a possible M numbers, regardless of the order in which the numbers are drawn is:
N! / ((M-N)!*M!)
Any predetermined combination of N numbers is just one of the total number of different combinations. Any predetermined combination has the same chance of being drawn at any moment. The chance that last draws combination is being drawn again is exactly equal to the chance that any combination is being drawn.
For the three different games of the Bulgarian toto the chances of getting the same combination of numbers in consecutive draws is:
6 out of 49: 1 in 13,983,816
6 out of 42: 1 in 5,245,786
6 out of 35: 1 in 1,623,160
Those chances are the same for any combination of numbers. The chance that next draw's combination is (2, 13 ,17, 23, 28, 35) is exactly the same as the chance that next draw's combination is (1, 2, 3, 4, 5, 6), which for most people is counterintuitive.
She is an alien star child. She needs money to help mankind. I am happy for her. She will give it all away to the needy and her mission.
Love and light
Namaste
“When the power of love overcomes the love of power, the world will know peace.” ~ Jimi Hendrix
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