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Interactive MathematicsProbability
This site contains an extensive collection of java applets involving probability miscellany and puzzles. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.
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 Learning Exercises
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Comments
Fernando Sam (Student)
The thing i like about this site is the way they've come up with probability problems for you. There are 41 of them to give someone an idea of what it's about. They really test your mind with it. Once you get it, its pretty cool. In the intro, they give you an welcoming into the theory of probability and how it works. I was never good with it, but now i think this site can help me and others out greatly.
Time spent
reviewing site: 1/2 Hr
Dr. Troy Tenhet (Faculty)
Good site. But you'll have to explain how to use it more than once!!!!
Technical Remarks:
Confusing at first.
Used in course?
Yes
Pauline Chang (Student)
Perhaps I'm a little hard to learn when it comes to math and require a bit more explanation/information/examples but compared to the finite math site, this site didn't seem to have as much information as I would have liked. It's definately a useful tool to know about and have handy. The examples and explanations they have on the site was definately helpful. I did enjoy the quote posted...Lord J.M. Keynes "... it is not rational for us to believe that the probable is true."
Technical Remarks:
On a technical note...It would be nice to click on links that opened up a seperate window as oppose to clicking the back button everytime to reference the previous materials.
Used in course?
Yes
Ralph Topete (Student)
What exactly are you doing when your Â“finding patterns that occur in random events?Â” YouÂ’re finding the probability of that event happening. Many students find probability very difficult to understand. Like other students, I was one of them. This site can clear many questions you may have about probability. It provides exercises to help students gain a better insight on how to answer problems. Some questions like Balls of Color, allow you to think the questions without the solution being revealed. It allows you to soak in the information and gives lots of room for critical thinking and application. The site is very well organized and is filled with quality problems to help study for exams. I found this site to be very helpful, and hope others enjoy it just as much as I did.
Used in course?
Yes
Rosie Berdejo (Student)
I spent about one hour reviewing this site. This site contains an excellent educational and fun information. I like this quote "In a world as crazy as this one, it ought to be easy to find something that happens solely by chance. It isn't". Also, i learned what is the probality? Intuitively, the mathematical theory of probability deals with patterns that occur in random events. Problability problem #9 Birthday Coincidence..... I found it to be interesting. I'm sure students and professor really enjoy this site because the quality of the material was great and well organized.
Technical Remarks:
I think that first time users will find it easy to go through this website and try a variety of problems.
Used in course?
Yes
Antonio Alanis Correa (Student)
I chose this article because I want to learn more and understand about probability. Before I read this article, I always have in my mind that probability means 50% of change to be right when we guess a prediction. I like this article because describes about what probability means. One the things I like this article is that it has problems so we can practice and understand more about probability, and it has the solutions for each problem which it explains step by step. This is a great way to practice about probability. I read some problems to understand more about the subject. One of the problems that I like most and it explained more clearly and simple was the bear cubs problem. This problem helped me to understand more about probability since I am studying this subject in my class. I spend less than an hour searching learning about this subject. The article goes straight to the main point which is useful for the students who want to learn more about the probability problems. I didnÂ’t have any problem to understand this subject because it has the basic vocabulary to explain the main idea.
Used in course?
Yes
Minnie Groom (Student)
I reviewed this material extensively in planning a lesson for my remedial ninth
grade math class. After reviewing several of the available problems, I selected
the Monty Hall problem to be the focus of my lesson. While I have not actually
used the lesson yet with my students, I plan to in the next few weeks. The
quality of the content is very high. I appreciated the variety of classic
probability problems that were presented in such a manner that they would be
accessible to high school students but also engaging for college students or
adults as well. The written descriptions of the problems are informative and
thorough and the simulations are engaging. I am extremely optimistic that this
resource will be able to be used effectively to help my students understand the
use of simulations in solving probability problems.
grade math class. After reviewing several of the available problems, I selected
the Monty Hall problem to be the focus of my lesson. While I have not actually
used the lesson yet with my students, I plan to in the next few weeks. The
quality of the content is very high. I appreciated the variety of classic
probability problems that were presented in such a manner that they would be
accessible to high school students but also engaging for college students or
adults as well. The written descriptions of the problems are informative and
thorough and the simulations are engaging. I am extremely optimistic that this
resource will be able to be used effectively to help my students understand the
use of simulations in solving probability problems.
Technical Remarks:
I found this online resource easy to use and navigate. Despite warnings that
some computers may have trouble running the simulations, I had no technical
difficulties whatsoever in running the simulations on my home computer and I
also no problems running them on the computers at work. One change that might
make the Monty Hall simulation easier to understand would be to change the
program for the applet to open one door at a time more like it was described on
the show Let's Make a Deal.
some computers may have trouble running the simulations, I had no technical
difficulties whatsoever in running the simulations on my home computer and I
also no problems running them on the computers at work. One change that might
make the Monty Hall simulation easier to understand would be to change the
program for the applet to open one door at a time more like it was described on
the show Let's Make a Deal.
Used in course?
Yes
Vincent Klumper (Student)
This sit was awsome. I love probability, and it was very easy to follow all the
information on this sit. There were great problems that you can try and solve,
and there were great examples as well. I spent about 15 minutes on this sit
and I was able to absorb a ton of infromation. This was a great sit, and it was
very educational.
information on this sit. There were great problems that you can try and solve,
and there were great examples as well. I spent about 15 minutes on this sit
and I was able to absorb a ton of infromation. This was a great sit, and it was
very educational.
Used in course?
Yes
Marc Muniz (Student)
I have always been interested in probability simply because I like knowing the
odds that an event or action will occur. I have always been fascinated about how
mathematicians as well as many other people are able to break down statistics
and determine the probability of an event. A main theme that this particular
site demonstrated quite well was the portion that determined random selection.
There was a very easy to understand example of this idea on the website. Through
playing around with the example I was able to understand a lot more about the
process of random selection. Through this example as well as a few others listed
on the page I was able to determine that the process of random selection
includes no selection at all. I kept going back and forth from this site because
I couldn?t stop playing with the random selection example shown on the site.
This site was particularly easy to navigate around in but it did leave a few
areas about the topic uncovered. But because of the simplicity of the web site
and the great examples, this site is definitely a valuable learning tool.
http://www.cuttheknot.org/probability.shtml
odds that an event or action will occur. I have always been fascinated about how
mathematicians as well as many other people are able to break down statistics
and determine the probability of an event. A main theme that this particular
site demonstrated quite well was the portion that determined random selection.
There was a very easy to understand example of this idea on the website. Through
playing around with the example I was able to understand a lot more about the
process of random selection. Through this example as well as a few others listed
on the page I was able to determine that the process of random selection
includes no selection at all. I kept going back and forth from this site because
I couldn?t stop playing with the random selection example shown on the site.
This site was particularly easy to navigate around in but it did leave a few
areas about the topic uncovered. But because of the simplicity of the web site
and the great examples, this site is definitely a valuable learning tool.
http://www.cuttheknot.org/probability.shtml
galvan (Student)
The site had points of probility examples, but had miused statics and
application to biology. The material was equally distrubuted to a lot of puzzle
solving. Which made a little exciting to solve.
application to biology. The material was equally distrubuted to a lot of puzzle
solving. Which made a little exciting to solve.
Technical Remarks:
The website was a good learning tool if you get into statics.
Used in course?
Yes
Agnes Febles (Student)
I really like this website. This site on Probability briefly decribes
probability as well as intoduces 21 probaility problems; each problem is laid
out in detail and allow you to work out the problem, once you have reached the
solution to the problem it allows you to check your answer. The part I like the
most is the site shows you the steps in solving the problem. I believe this is
a great learning tool. I find many sites just give you the answer but they
don't show you the steps in solving the problem. This site clearly shows you
the steps which is helpful. I spent about 1 hour in this site visiting differnt
probability problems, like the probability of The Male and Female Bears, The
Monty Hall Dilemma and The Balls of Two Colors. I believe this is a good site
for the students. The site is laid out in a simple format which makes it easy
to undertand as well as use. It is not diffcult to meneuver your way through the
site. It is user friendly.
probability as well as intoduces 21 probaility problems; each problem is laid
out in detail and allow you to work out the problem, once you have reached the
solution to the problem it allows you to check your answer. The part I like the
most is the site shows you the steps in solving the problem. I believe this is
a great learning tool. I find many sites just give you the answer but they
don't show you the steps in solving the problem. This site clearly shows you
the steps which is helpful. I spent about 1 hour in this site visiting differnt
probability problems, like the probability of The Male and Female Bears, The
Monty Hall Dilemma and The Balls of Two Colors. I believe this is a good site
for the students. The site is laid out in a simple format which makes it easy
to undertand as well as use. It is not diffcult to meneuver your way through the
site. It is user friendly.
Katie Larkin (Faculty)
Great organization and information. Â I found the exercises to be a bit too wordy and possibly overwhelming for students.