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The odds of winning will still be the same. However, the probability that you will recieve the entire jackpot goes down as more people play the lottery.
I was reading about probability yesterday after reading this thread and came accross 'Pascal's Triangle'. this is cool. I tried to type it in here and it got all messed up and I had to start over. So I typed it in Microsoft Word, here's a link. For you Linux users n' stuff there's lots of hits on google.
Pascal's Triangle
EDIT: the file name is "Pascal_s_Triangle_3_.doc" From "i.b5z.net" it's not a virus or anything. I just dumped it on my church's website and threw up the link. http://i.b5z.net/i/u/1223630/i/cuz/P...riangle_3_.doc
The Triangle has no end, it keeps going forever. So Technically if we took it to 45 rows we could find the answer to our Lottery question. I googled it and couldn’t find it past about 16. Anybody care to give it a shot? Here’s a form that helps keep the numbers in line but it only goes to row 30.<O
When it gets up to several million, people rush from all over the country to buy tickets, even though the odds are much less. $1 million would greatly change my life. I would be more likely to buy a ticket when the total is low, & have a better chance of winning, than when it is very high & have a 1 in 5 million chance. Does that make sense? Does anyone agree with me?
The odds of winning any lottery such as this are the same regardless of what the jackpot is. What changes is your return on your investment. Although, winning a million on a buck is still a great return, winning 340 mil is better. No matter what, though, the lottery is still a sucker's bet because overall more people are losing than are winning (don't forget, the states are making money on this - not all the money played goes to winnings).
Also on the subject of statistics and drawings, think of this one....
Say you have 3 prizes of differing values that are being given away based on 100 names being drawn from a hat. Why is it that the third prize (lowest value) is given out first? The highest value prize should be given to the first name drawn since that ticket has the lowest chance of winning (1/100). If the first prize (highest value) is given to the third name drawn, they have a higher chance of winning because there name is in the hat for three drawings.
yes, i understand limits...whats the problem?
-jason
Well...limits are. I understand the whole 'as approaches' thing, but for the life of me, I cannot apply it. When we do it in class, i can follow, but when I'm on my own, I'm S.O.L. Know of any places or resources to use? Any tricks or shortcuts? I'm not even 100% sure about what it is that confuses me, but I can never get it.
A little bit of column A and a little bit of column B. We started with the basics, and are now on Instantaneous and average rate of change. We're also getting into derivatives and anti-derivatives pretty soon.
so this is a calculus course? if it's calculus, then you really don't need to know how to prove it for now. i remember i had a hard time with limits when i was first introduced to them. kind of gets complicated when you consider a function approaching a number from the left and right, and from each side there is a different limit. it's kind of hard for me to explain unless i know exactly what the problem is though. my guess is that you talked about limits in class as an introductory way to find a derivative of a function, but you will soon pass that, as that is not the best way to find a derivative.
Calculus course...NOT proving your work? What the???? In order to verify solutions and that your work is in tip top order, you're going to want to know how to at least apply limits, especially if you progess into other subjects such as vector calculus and differential equations. Derivatives and Anti-derivatives (Integrals) are pretty easy with practice and knowing your theorems. Limits are important for series (Taylor, McLauren Series, power series, etc). Best advice on finding limits, learn how to use L'Hopital's rule, if you go further (not sure what the future of math is for you), it'll be very important in finding solutions in vector calculus or in understanding partial derivatives.
Son of a gun, I sound like my professor, not trying to, just want you to know that applying limits will be important in a lot of aspects of calculus (math), and finding derivatives will soon become a joke to you, as long as you learn your product rules and quotient rules (nothing too tough), wait until the trig. identities start messing with your head.
Sorry for the long...."ohhhh but you should"...post. Good luck on the math.
by not proving it, i mean for calculus you don't need to know the formal definition of a limit. "For each ε > 0 there exists δ > 0 such that |x-x0| < δ implies |f(x) – L| < ε" is not necessary for a calculus class.
oy...I hate talking about math. Yes, it's calculus, NO, I will not be going any farther than this class...I don't even want to be in this one. Right now, it's the 3rd of a 3 part series. Math 101 is basically algebra overview, intro calculus and that stuff. 102 is basically matrices, and a bit of statistics. This, while not very deep, is strictly calculus.
What is the best way to find a derivative?
And, I hope it doesn't sound like I'm taking the easy way out, but is there a way to work limits and derivatives on a calculator, specifically a TI-83? This is the first class in awhile where he lets us go to town on the calculators. It's strange, the rest won't at all. I understand learning how to do it first, but why make me buy a $110 calculator if you're not going to teach me how to use it, you know? For $110, that thing better majke me coffee AND solve my crossword.
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