| Bernie Amler on Sat, 1 Apr 2000 11:48:18 +0200 |
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| Re: GLUG: GLUG lotto hitths and myths |
I've been watching this as well, but have not had the "guts" to stir as you have. I only wish more people would "study" stats and gaming theory. It's the same old thing. Ask someone the odds of a coin coming down tails after it has come down heads 10 times in a row and watch them reach for their calculators. Of course if it is a normal coin, heads on one side and tails on the other, and the coin is not weighted in any way, the answer remains 1 in 2, 0.5, or 50% depending on how you wish to express it. A coin has NO MEMORY of previous events. Regards, Bernie Amler Telephone International : +27 11 882 7058 Local : (011) 882 7058 Fax International : +27 11 882 7058 Local : (011) 882 7058 Mobile International : +27 83 652 0803 Local : 083 652 0803 E-Mail : bernie@xxxxxxxxxxxxxxx Linux is like a Wigwam. No Windows. No Gates. Apache inside. ----- Original Message ----- From: Carl Templin <ctemplin@xxxxxxxxxxx> To: <glug@xxxxxxxxxxxx> Sent: Saturday, April 01, 2000 4:04 AM Subject: GLUG: GLUG lotto hitths and myths > Gentlemen, > I have read all the lotto letters so far which think that if they were smart > enough, then they could predict what numbers would come up in the winning > set of 6. > As one contributor hinted, if the system was fixed so that a prechosen set of > numbers could be made to reappear (perhaps by telekinesis effected by a > person who could watch the drawers balls dropping) and you could torture the > person who would actually make it reappear till he/she told you the > numbers....well then,, maybe. > > In short, I was amazed that anyone could actually think there is a way. Try > this: Take a new deck of cards and without you watching let 10 people each > have a go at shuffling. Now, using whatever theory or religion you wish, > guess what the card on the top of the deck is. Your chances are 1 in 52. > No cerebral gymnastics can change those odds. > Now take away 3 known cards to leave a deck of 49 (same as the lotto). Next , > guess what the top six cards are (after alot of people have shuffled without > looking at the cards and you not watching the proceedings). Can anyone > believe that there is a way of actually predicting .......please! > > In order to make the problem a bit graphic, allow me to show you how, without > taxing the brain, to calculate the odds of guessing six out of 49: > > There are 49 ways of guessing a first number (or card). > For each of these there are 48 ways of choosing/guessing a second different > number. > This means that there are 49 x 48 ways of guessing a first AND second. > > There are 47 choices for a third number, 46 for a fourth, 45 for a fifth and > 44 choices for a sixth. > > This means that there are 49 x 48 x 47 x 46 x 45 x 44 ways of choosing > 6 out of 49 IN A PARTICULAR ORDER. > > Any six cards can be ordered in 6 x 5 x 4 x 3 x 2 x 1 ways, using the same > reasoning as above. That is, there are that many orders in which any given > six numbers (or cards) can occur. > > So, the total number of choices (only one of which is the big one) is > > (49 x 49 x 47 x 46 x 45 x 44)/(6 x 5 x 4 x 3 x 2 x 1) > > No Einsteinian theory nor talking parrot can change this fact. > > The above value is between 14 and 15 million. > Imagine 14 to 15 square metres of fabric woven out of thread 1 mm wide. > Each square metre would consist of 1000 x 1000 little squares of thread. > > Now imagine that your 15 square meters are layed out on the ground and > have the gardener mark one weeny 1 mm square of thread on the underside > of the cloth, without you watching. Now throw a dart in the air and try to > scientifically guide this dart > to the secretly marked square. If you hit it you win. > > Here endeth my wisdom for the day > Cheers young fellas, > Carl Templin > > ps this friendly letter might sound a trifle snotty.......thats because I feel a > trifle snotty. > > > > > > 0 > --- > To unsubscribe from this list: send the line "unsubscribe glug" in > the body of a message to majordomo@xxxxxxxxxxxx