Probability is published by the Academy of Dijon.

Note:

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The application is not intended to be used independently by the student, but as part of an educational class sequence.

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Type: Simulator / Trainer / Issues Bank

concerned Cycles: Cycle 4, second

Base Area: 4

Targeted skills :

Probability: Understand and use elementary probability;

Data processing: Read as raw data of the data table, graph.

Description: Probability is a companion app for teaching probability in college and second. It is composed of three parts: Simulate; practice ; reflect

I. SIMULATION:

This part simulates many experiences, so as to introduce the concept of probability based on statistical frequencies.

content:

- dice Throws: (6 faces: 1,2,3 or 4 dice - faces 8: 1 or 2 Dice - 12 faces: one or two dice, dice Sicherman)

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be accumulated.

The data is displayed in a table

A chart is created in real time.

- Shots parts (1, 2 or 3 parts, faked or not)

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be cumulés.R

The data is displayed in a table.

A chart is created in real time.

- prints in a box (up to 4 colors balls)

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be accumulated.

The data is displayed in a table.

A chart is created in real time.

- lottery wheel (up to 5 colors sectors, number of configurable sectors)

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be accumulated.

The data is displayed in a table.

A chart is created in real time.

- Throws a bug:

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be accumulated.

The data is displayed in a table.

A chart is created in real time.

- Card Draws:

It is possible to simulate 1, 10, 100, 1000, 10,000 or 100,000 successive throws.

The throws can be accumulated.

The data is displayed in a table.

II. PRACTICE :

Exerciser part of the application, this is to train on the notions into classes.

content:

- Experiments to test: (series of 10 random questions, written exercise)

The questions are generated from 10 situations:

* Algorithm with Scratch

* Geometry

* Table double entry

* Frequency Table

* Draw from an urn (probability calculation)

* Print from an urn (calculating the number of balls)

* Lottery Wheel

* Letters Panel

* Draw a card

* Bar chart

- Experience in two events: (4 issues available, no year noted)

* Successive Shots of a part

* The Funfair

* Customer service

* Dress in Black

III. REFLECT :

This part includes a bank of six problems involving probabilities. Each time, the problem is stated, it is possible to play a game, then simulate a large number of party. Then load the students to find the exact value of the desired probability ...

content:

* Paradox of the Grand Duke of Tuscany

* Monty Hall Problem

* Free-tile game

* Monte Carlo method

* Moving a beetle on the edges of a cube

* Signes maps Game

All available applications are visible here:

http://mathematiques.ac-dijon.fr/spip.php?article196

Overview

Probabilités is a strategy board game for two or more players, where the objective is to move all of one's pieces to the opposite side of the board before the other players. The game is played on a square grid with 9x9 squares, and each player starts with 12 pieces.

Gameplay

The game is played in turns, with each player moving one piece at a time. Pieces can move either horizontally or vertically, but not diagonally. A piece can move as many spaces as it wants, but it cannot jump over other pieces.

If a piece lands on a square occupied by an opponent's piece, the opponent's piece is captured and removed from the board. However, if a piece lands on a square occupied by a piece of the same color, the two pieces merge into a single piece.

The game ends when one player has moved all of their pieces to the opposite side of the board.

Strategy

There are a number of different strategies that can be used to win at Probabilités. Some common strategies include:

* Controlling the center: The center of the board is the most important area, as it gives pieces the most mobility. Controlling the center can help you to prevent your opponents from moving their pieces and to capture their pieces.

* Creating forks: A fork is a move that threatens two or more of your opponent's pieces at the same time. Forks can be very effective at capturing pieces and forcing your opponent to make bad moves.

* Blocking your opponents: You can block your opponents from moving their pieces by placing your pieces in front of them. This can prevent them from reaching the opposite side of the board and winning the game.

* Sacrificing pieces: Sometimes it is necessary to sacrifice a piece in order to gain an advantage. For example, you might sacrifice a piece to create a fork or to block your opponent from moving.

Variations

There are a number of different variations of Probabilités. Some common variations include:

* Capture the flag: In this variation, the objective is to capture your opponent's flag, which is placed on the opposite side of the board.

* King of the hill: In this variation, the objective is to control the center of the board for a certain number of turns.

* Team play: In this variation, players are divided into teams of two or more players. Teams work together to move their pieces to the opposite side of the board.

Conclusion

Probabilités is a fun and challenging strategy board game that can be enjoyed by people of all ages. The game is simple to learn, but it offers a lot of depth and strategy. With a little practice, you can become a master of Probabilités and defeat your opponents!