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think the MM or PB has bad odds?

Topic closed. 16 replies. Last post 8 years ago by pumpi76.

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edge's avatar - waveform

United States
Member #68609
December 26, 2008
2204 Posts
Posted: March 24, 2009, 7:09 pm - IP Logged

The following was in THE MATH FORUM - ASK DR.MATH

From: Doctor Paul
Subject: Re: NCAA tournament possibilities

First notice that the 64 teams play 63 total games: 32 games in the
first round, 16 in the second round, 8 in the 3rd round, 4 in the
regional finals, 2 in the final four, and then the national
championship game.

32+16+8+4+2+1= 63

Now let's answer an easier question.

If there were four teams, and they played three games, how many
different ways would there be to fill out a bracket?  You can write
them down. There are only eight of them. Where do that eight come
from?  Well, there are three games, and you have two possible choices
for each game. Hence, 2^3 = 8 possibilities.

Now back to the real tournament. Since there are 63 games to be
played, and you have two choices at each stage in your bracket, there
are 2^63 different ways to fill out the bracket.

2^63 = 9,223,372,036,854,775,808

That's more than nine quintillion possibilities.

"That's more than nine quintillion possibilities." - where do I sign up:) lol

ab actu ad posse valet illatio - from the past one can infer the future


    Member #20982
    August 29, 2005
    4715 Posts
    Posted: April 10, 2009, 2:37 pm - IP Logged

    i don't know anything about NCAA nor do i know what NCAA stands for but i think it stands for college basketball....I don't even know what a bracket is....

    But my question is, do they let you pick more than one choice? How are they going to offer it to people when Sport Gambling becomes a reality in the USA...

    They should offer 100 million dollars to whoever gets a perfect bracket or whatever....

    But what i am thinking is it couldn't be too too hard because is a no or yes option of each match..A team either wins or loses, while the lottery is either no or yes 27 times [even/odd numbers] plus yes or no 10 times [high ending digits/low ending digits], and it will leave you with 10 numbers....

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