Betting Math

Leslie Green’s Casino Problem

A bunch of Physicists, fresh from College, go to their local casino with plans to profit with their advanced gaming strategiesCasino Roulette - 3d render for Roulette. They have chosen a Roulette game where there are 36 numbers from 1 to 36, alternately colored black and red. There is only one green slot, which is usual in Europe but unusual in the USA. When the ball lands in the green slot, 0, all bets are lost to the House.

All participants place 223 bets. Each bet pays out at 1/1 odds, meaning you get your bet back plus an equal amount of winnings.

John bets only on RED, and only immediately after a run of 3 reds.

Sally bets only on EVEN, but only after the sequence ODD, ODD, EVEN, ODD.

Peter looks for a run of 8 events, either all ODD, all EVEN, all RED or all BLACK. He then bets against this run continuing.

At the end of the 223 bets, who is the most likely to have won?

Leslie Green’s Sports Betting Problem

736The all-male under-10 football team, the Hunky Heroes, are playing the all-girl under-12 football team, the Girly Girls. I am facilitating the betting, although this may not be strictly legal in all jurisdictions.

Buddy and his friends have put a total of $200 on the favorites, the Hunky Heroes, to win. If they win I have to pay out a total of $3 for every $2 placed.

Samantha and her friends have put a total of $50 on the Girly Girls to win. If they win I will pay out a total of $6 for each dollar placed. (Some people would call this 5/1 odds, where you win $5 for each dollar placed AND you get your $1 bet back).

Some of the parents have individually placed a total of $100 on a draw. In this case I pay out a total of $3 for each dollar placed.

Who has the greatest chance of winning?

Casino Statistics

In a casino on a Sunday,  90% of the visitors lost $200 each, # 9% of the visitors lost $1,000 each, and # the rest won $10,000 each. # If the profit of the casino is $340,000, how many people visited the casino?

The answer

Bankrupt Business

Jane and Gerry visit a casino. In one game, they have a 1/5 probability of winning $100 and 1/2 probability of losing $50. They have also a chance of no win / no loss. What is the most likely amount of money they will win (or lose) at the end of 100 games?

The answer

Gambling is bad for your health and budget!

Wittygon – Game and Math Lesson

aplusclickWittygonAplusclick has just launched Wittiygon. It is a mix of Math practice and a logic game.

icon-173-tile Aplusclick Logic Puzzle Wittygon is a free educational game for Very Intelligent People (VIP) in grades one through twelve and smart adults.

The game is free and ad-free.

 What is the story about?

In the Wittygon planetary system, the aim is to move a planet to a nearest neighbour in order to exchange positions. Match 4 or 5 planets in a row to win stars.  You win additional points if you correctly answer IQ Bonus Questions. The questions will be automatically adapted to your skills and motivation. The collection of the questions includes more than 400 logic questions, which don’t ask for special mathematical knowledge.

Where can you play?

Online: www.wittygon.com ,   iPhone or iPad,    Android:

online aplusclickAppsStore AplusclickGooglePlay

Enjoy the challenge – become clever!

 

Mathematical Intelligence

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WHAT IS IT?

Mathematical reasoning is an essential part of literacy.

Literacy is “an individual’s ability to read, write and speak in English, and compute and solve problems at levels of proficiency necessary to function on the job and in society to achieve one’s goals, and develop one’s knowledge and potential.”  – American National Literacy Act of 1991

HOW TO GET IT?

Mary Matthews of Blitz Games Studio, UK says ” Exploration, experimentation, team building, problem-solving and independent, personalized, differentiated experiences [will tap into] the full potential games can offer for learning.”

SOURCE:

http://www.huffingtonpost.com/suren-ramasubbu/using-technology-to-improve-mathematical-intelligence_b_6907886.html

A+Click 2014 Numbers

Education by computer2014 Annual Statistics

4600+ challenging problems for students in grades one through twelve;

500,000+ sessions on websites http://www.aplusclick.com and http://www.aplusclick.ru in 2014;

5’30” is the average duration of a session;

190 countries: USA 45%; India 9%; Canada 7%; Australia 5%; UK 5%;

10,000+ cities: top cities are  Brisbane, Australia; Chicago, USA; New Delhi, India;

25% visitors via mobile or tablets;

500 stars is the Best Score of the A+Click Challenge in 2014. Suhas, Bangalore, India is the best performer of 2014.

100 Best Performers of the A+Click Challenge in 2014: USA – 28%; Cambodia – 26%; India – 15%; Canada – 6%.

2,000+ people passed IQ Test; 454 people scored over 100;

100+ suggestions from users;

18,500 downloads of A+Click eBooks on iTunes;

A+Click continues the adventure in 2015!

aplusclick2014

Is probability useful in real life?

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The question is simple. The best way to answer to the question is to give examples. Here they are:

How many cowboys are expected being alive after a gun fired in a saloon?

How many people in a block building have the same birthday as yours?

How much time do I expect to spend guessing a 5 digit password?

Does a prince have a chance to be chosen by a princess?

How much money does a casino earn everyday?

What is chance that a rocket launch will be successful?

Does a nuclear reactor explode if 4 of 100 its nuts fail?

We don’t use probability on daily basis. Sometimes, simple probabilistic calculations help us to make wise decision and avoid risk. My answer to the title’s question is YES. And yours?