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MERLOT II




        

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Josephus Flavius Problem

        

Josephus Flavius Problem

Logo for Josephus Flavius Problem
Solve or watch being solved the Josephus Flavius problem. Count heads in order to survive
Material Type: Simulation
Date Added to MERLOT: March 16, 1998
Date Modified in MERLOT: March 10, 2009
Author:
Send email to alexb@cut-the-knot.com
Submitter: Bethany Gross

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Primary Audience:
Mobile Compatibility: Not specified at this time
Language: English
Cost Involved: no
Source Code Available: yes
Accessiblity Information Available: no
Creative Commons: unsure

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Discussion for Josephus Flavius Problem

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Avatar for   Huynh
11 years ago

Huynh (Student)

I spent a few minutes letting the machine run, randomly picking the numbers.
After seeing the random numbers being picked, it didn't seem as if it was really
random at all. It seemed more like it was programmed to go thru a sequence of
numbers at certain time intervals. However, this does accurately represent a
model that is educationally significant. It will allow for teachers to show
their students what a machine that picks out random numbers is like, such as the
lottery. This was very easy to use and the explanation of what it does was
also very understandable.

Avatar for kristin fowler
11 years ago

kristin fowler (Student)

This is a great web site I spent an hour and a half on this game. The wording
is kind of confusing but this is how it works.
You click on the set button at the bottom of the calender. Then you drag the
cursor inside the calender over a section of dates. It doesn't matter how small
of large you make the square. Then you add the numbers diagnaly and you will get
a sum. The sum will always be the same no matter what numbers the person picks.
The magic part is that the numbers the person picks has to be in a diagnal
form. For example, on the September 2002 calender the dates I selected were
3,4,5 I added the 3,11,and 19 and the sum
10,11,12 is 33. It's the same if you add the
17,18,19 17,11 and 5 = 33. This is when you get a friend to come over to
the computer and ask them to select three numbers in each row. You already
selected the square so you know what the sum is. That is the magic part the
persons expression is priceless.
This is a fun game to play and there are many possibilities to choose from.
The beginning was confusing even for my tutor, but together we figured it out.
I give this one four stars.

Technical Remarks:

http://www.cut-the-knot.com/SimpleGames/Calendar.shtml

Avatar for kristin fowler
11 years ago

kristin fowler (Student)

Hi, I am Kristin the first one to comment on the bear cubs problem by Josephus
Flavius. I was browsing this web site for one hour. I had a blast playing the
probability game consisting of the two bears and what the chances were of both
of them being male. You start by having a white bear and a dark bear and
starting with the white bear you get four possible outcomes ff,mf,fm,mm the
answer is 1/4. The second question was lets say one of the bears is male then
what is the probability that both bears are male? There are three possible
outcomes and they are mf,fm,mm the answer is 1/3. The third question was what if
you know that the white bear is male then what is the probability that the dark
bear is male? This time it is up the reader to solve the problem without
looking at the solution first. I am proud to say that my answer was right it was
mf,mm making the answer 1/2.
The quality of content of this game was helpful in the process of allowing
me to have a better understanding of probability.
This game was fun to follow along and play it was interesting to see that by
changing the questions the probability outcome changed as well. I recommend
people look at this web page because it was great and it is easy to solve and to
understand.