Adding numbers is an important skill.
This program does this:
Let’s you choose how many numbers to add from 2 to 25.
Presents the number list vertically.
Waits for you to add the numbers.
Presents the answer when you press enter.
You can change the length of the number list.
I have included the BBC BASIC for WINDOWS CODE and
a exe program to run on WINDOWS.
THE BASIC MATH EVALUATOR and COURSE explained
The math product I offer, Basic Math Evaluator and Course, is special to me.
I was a Speech Improvement Teacher in a high school in the 1990’s.
My students always failed a basic math course that was offered to them
in place of the regular course. The way they were taught was degrading
and ineffective. This hurt me because I was poor in math in high school
in a similar way. I resolved to write a program with my new found BASIC programming skills.
The staff of my school was cooperative and supportive.
The program, as you see it, was the result of this effort. It can be
used in a course. Problems can be presented so that several types of problem
appear in a sequence. Students must recall how to do them again and again.
Because they work individually, tutoring in place is possible.
After a test, the program shows you a list of the skills you know and don't
know based on your answers.
We had great success with this approach. The program has been upgraded
to work with BBC BASIC for Windows and has three variations of questions.
The problem of images was cleaverly side stepped by presenting images as pictures,
instead of being generated each time.
With modern computers and the internet, it is now available to you!
Thank-you TES, Thank-you Russell! (BBC BASIC creator). I hope you use it and
it’s ideas will be adopted.
Do Some Bingo Cards Win More than Other Cards? - An Experiment
There are theories that predict more winable bingo cards;
namely Tippett and Grandville Theories. These seem like plausible theories made by respected mathematicians. This is an experiment to see if some cards win more often than other cards.
I play bingo in a club. There are twenty to fifty players.
I noticed that you must win in at least twenty five turns. I wrote a computer
program to make bingo cards and play with them; this is easy for a computer
which is very mathematical. I was able to play 1000 games a second with my
home computer. I count the wins in less than 26 as a measure of quality.
I play 1000 cards 1000 times each. I compare these cards to a master list with high scoring cards. I replace lower scoring cards with higher scoring cards.
In this way, I get the highest scoring cards concentrated on a master list.
Regular cards win about 80 times in 1000 tries. The master list boosted wins to 108 wins per 1000 games.
I use a number seed to make cards so I can make a card again. What I did to see if cards
win more was to use the master list cards to play again and see there winability then.
I played 530 million games to make a master list of 1000 top winning cards. However;
when I played with these top cards again, they proved to be no better than a randomly made card.
This seems to indicate that all bingo cards have an equal chance of winning and no card
is any better than any other card.
In this product I include: the program, the master top scoring card list, the top scoring
list when used again, more details about the program.
If cards did show more winability, I would have pursued a reason for this - different last digits, average near the mean as the bingo theories indicate they should be like.
My explanation to this project is this: A card may score very high by chance. That is, a
card may win more times in 1000 trials by chance. Every 1000 cards, a few may excel by chance.
It is like winning a lottery.
If you win a lottery, than does not mean you are more likely to win another lottery again.
You have an equal chance to win another lottery as anyone else.
I am sure this is not the final word on this matter and some other thing may come up, but
this is solid evidence against bingo theories.
Paul Skittone
2023
THIS PRODUCT MAKES TWO BINGO CARDS, PLAYS BINGO, ANNOUNCES A WINNER, KEEP TRACK ON WHICH CARDS WINS, PLAYS AGAIN WITH THE SAME CARDS.
BINGO IS A MATHEMATICAL GAME MANY STATISTICAL IDEAS CAN BE DEMONSTRATED WITH.
How are your basic math skills?
This product has sixteen tests to find out.
It then gives your an evaluation of your skills.
You can pick questions on these topics to improve your abilities.
THIS IS A NICE BOXING GAME.
IT HAS THE COMPUTER CODE INCLUDED.
INCREASE AGE 1 PER FIGHT STARTING AT 1.
START FIGHTER NUMBERS AT 1.
INCREASE BOXER NUMBER BY 1 FOR EACH NEW BOXER.
THE HORSE RACE GAME IS A RACE BETWEEN EIGHT HORSES.
EACH HORSE HAS A DECK OF CARDS TO GIVE IT ABILITY TO MOVE FORWARD.
AT THE END OF THE RACE, THE COMPUTER PICKS A WINNER, BASED ON HOW FAR AHEAD YOU ARE FROM THE WINNER; EVERYONE HAS A CHANCE TO WIN.
STATISTICS ARE KEPT, RANKING THE HORSES. THEY AGE.
YOU REPLACE HORSES THAT DON’T WIN; EVERY FEW RACES (I USE EVERY TEN RACES).
THE COMPUTER DOES EVERYTHING. YOU JUST WATCH; FROM THE GRANDSTAND.
THIS IS AN ADAPTATION; A DEMONSTRATION, OF THE TESTING MACHINE.
THE TESTING MACHINE ALLOWS EIGHT STUDENTS TO ANSWER QUESTIONS TOGETHER.
START WITH YEAR 1 AND USE THE YEAR YOU END WITH THE NEXT TIME YOU PLAY.
SEE MY DISCUSSION OF THE RACE HORSE GAME ON TES "
DO ALL BINGO CARDS HAVE THE SAME ODDS OF WINNING? A WAS TO SEE
Bingo is a game of frustration. You get a card with 25
numbers on it; five to a row. The rows are picked from these ranges:
ROW 1 1-15
ROW 2 16-30
ROW 3 31-45
ROW 4 46-60
ROW 5 61-75
Other people get cards too.
Numbers are called out at random from 1 to 75. If one of your numbers
is called, you cover it. You win if you’re the first one to have
five numbers in a row, including diagonals; so there are twelve ways to win.
My first reaction to this game was extreme boredom; then I got into it.
If you believe in luck, or somehow think you have a better card, then it is interesting.
Someone said to me there are lucky numbers that win more. There
are at least two theories claiming some numbers or combinations
of numbers win more.
I was curious. I wrote a BASIC computer program to find the answer:
Are there better BINGO cards than win more often?
My BASIC program can play about 1000 games a second.
I made random cards and played with them automatically.
I found the number of times a card won in 1000 game trials before
the 25th number was called. It seemed to me that, that is the number
you usually have to win by to win.
I saved the data for each card; amount of wins before the 25th number
is called.
I then used the same cards to run a second 1000 game trial for each card.
I saved this data.
I got an average for both lists; the average number it took cards
to win.
Then I compared the two lists, looking for consistency; that is
in both trials, where card that were better in trial 1, better in trial 2.
The final result of this was around 25%
That is, cards that were better in trial 1 were also better in trial 2.
This shows that cards have an equal chance of being better than
average in two games trial of 1000 games each.
25% chance of these outcomes:
in both trials a card was above average
in both trials a card was below average
in trial 1 a card was above average and in trial 2 below average
in trial 2 a card was below average and in trial 1 below average
CONCLUSION: Bingo cards have an equal change of being better at winning.
DISCUSION:
It is disappointing to find this result, but confirms
the laws of statistics. If you just look at the list of wins, some cards
do excel and sometimes they excel both times. However; overall, in 1000 games,
this does not hold true.
I think I will also test for extremely good cards. That is, do cards that are
much better in one trial win more often in a second trial.
THE END
THIS PROGRAM SETS UP A BINGO GAME FOR MULTIPLE PLAYERS.
ADVICE AGAINST GAMBLING IS INCLUDED.
IT ADVICES TO USE PLAY MONEY AND BE USED AS AN
OPPORTUNITY TO TEACH AGAINST GAMBLING.
THIS PROGRAM IS A MATHEMATICAL AMUSEMENT.
NEWTON WOULD BE CAPTIVATED NO DOUBT.
PLAYERS BUY CARDS WHICH ARE MADE BY THE COMPUTER
INTERNALLY. EVERYTHING IS DONE IN THE COMPUTER.
YOU PLAY GAMES WITH THESE CARDS AND THE COMPUTER
CALCULATES PRIZES.
WHEN I USED MY CARD MARKER PROGRAM ON THE BUS, IT WORKED.
HOWEVER; IT WAS TOO SLOW BECAUSE I PUT IN SAN UNNECESSARY PAUSE
TO SHOW THE NUMBER OF HITS FOR A NUMBER CALLED.
I HAVE REMOVED THE PAUSE IN THIS VERSION.
Bingo is often an entre to numbers, statistics and probability.
Millions of people like bingo.
This is a computerized version.
With this program you can set up a charity bingo game.
You sell cards.
Enter the number of cards each person has.
Enter the percent that will go to charity from the prizes.
Automatically play a number of bingo games.
After each, the computer gives prizes to the winner(s).
and shows the cumulative totals.
There is advice against gambling and you should use play money.
Full instructions are included.
This program has 100 cards for a small club setting.
It is a cover the whole card BINGO game.
You sells cards and keep track of who has which cards…
The computer picks the balls, marks the cards and
announces a BINGO.
The program has instructions.
ABOUT MY THREE BINGO PROGRAMS
I go to Atlantic City New Jersey USA, a resort town
with gambling casinos. They have a free bingo game to
attract people. I played and got interested in Bingo.
Later, the bus I go to AC with, has a BINGO game and you can buy
as many cards as you like.
I wrote a program to keep track of ten cards and successfully
played with it. I call this BUS BINGO.
I wanted more than ten cards. I bought a set of 100 cards
and wrote a similar program. You sell cards or keep track on paper.
It picks the balls, marks the cards and announces a winner.
I call this CLUB BINGO.
Yet a bigger bingo game is CHURCH BINGO. It makes up 1000 cards.
Everything occurs in the computer.
This program gives a part of the winnings to the house (church).
While I never used it; I assume you can sell cards, giving a
raffle ticket as proof.
You then enter the ticket number and the number of cards the person
bought.
It runs several games, figuring the prizes and keeping track.
It announces the winner and keeps a running total of the prizes.
THE VALUE OF BINGO:
Bingo is a number game and subject to speculation about
probability. (I ran 500 million games looking for the best cards.
I made the conclusion that all cards win the same.) There
are at least two theories claiming otherwise.
By computerizing games, they can be done quicker, giving
more data on probability.
GAMBLING IS BAD:
Playing games with play money or pennies teaches the folly
of gambling. It gives an opportunity for parents to teach
about the evils of gambling. Bingo should return exactly
what you bet; if you play enough games.
THE END
HERE IS A COMPUTER RUN BINGO GAME.
IT CAN MAKE 1000 CARDS FOR1000 PEOPLE.
EVERYTHING HAPPENS IN THE COMPUTER, FAST.
YOU SELL CARDS, GIVING A TICKET AS PROOF.
YOU ENTER THE NUMBER OF CARDS PER PERSON WHO BOUGHT THEM.
THE COMPUTER RUNS GAMES AND GIVES PRIZES.
EASY FULL INSTRUCTIONS ARE INCLUDED.
I SAY YOU SHOULD PLAY WITH PLAY MONEY TO GET FAMILIAR WITH THE PROGRAM.
BINGO IS A GATEWAY TO NUMBERS AND MATHEMATICAL THINKING.
THIS IS A NEW WAY TO SEE BINGO!
ABOUT BUS BINGO
BUS BINGO is a program that covers ten bingo cards.
It is a cover-all-the-numbers bingo game.
When one of the ten cards is completely covered with 24 hits, you win.
I wrote this to play on a bus to Atlantic City, a resort on the New Jersey shore.
It’s 2 1/2 hours from New York, where I live; so a few bingo games are played to
pass the time on the bus.
You can buy as many cards as you want; one person plays with five cards.
I thought it would be novel fun to play with ten cards.
I asked for ten cards, I could keep.
I put these card’s numbers into the computer.
When a number is called, I enter the number and the cards are marked.
Since I pay a dollar each card, it’s fair to play like this; it only makes more “action”.
When I win, I take the card that won and give it in for checking.
I’ve won a few times already.
I have improved the program to look better with even spacing.
This edition has an automatic number picker.
These numbers can be entered by just pressing enter; so you can play test games
to see how the program works.
You can also enter your own cards so you can play where you are.
I hope you like BUS BINGO and will make comments about it.
Paul Skittone
THIS VERSION HAS A BAR THAT SHOWS THE NUMBER OF HITS A NUMBER HAS.
IT LIGHTS UP.