Ensimag Rubrique Formation 2022

Probability - 3MM1PA

  • Number of hours

    • Lectures 18.0
    • Projects -
    • Tutorials 18.0
    • Internship -
    • Laboratory works -
    • Written tests -


    ECTS 3.0


Learn the language and basic concepts of probability.
Provide tools for modeling randomness.
Use of a simulation and statistical software: R.
This course will serve as a basis for the study of systems involving random phenomena encountered in most fields of engineering.
This is a prerequisite for courses like Probability for Computer Science and Principles and Meythods for Statistics.




Use and counting of sets: applications to game's theory.
Conditional probabilities, Bayes formula, Base rate fallacy.
Random variables, distributions, mean, variance and standart deviation.
Usual distributions : Bernoulli, Binomial, Geometric, Poisson, Uniform, Exponential, Gamma, Normal
Joined distibutions, Covariance, Correlation and Independence.
Simulation: by inversion, rejection method, law of large numbers, Monte Carlo method

    • This lecture is scheduled in "Période(s) Académique(s) 1 and 3" **


Basic notions in mathematics.


Two partial examinations (E1 & E2).
Continuous assesment : CC

  1. Lexique et formules
    EF: Examen final en période 3
    CC1 : contrôle continu de période 1
    CC2 : contrôle continu de période 3
    RF1 : rendu final de période 1 (distanciel)
    RF2 : rendu final de période 3 (distanciel)
    O : Oral (présentiel ou distanciel)

# Calcul de la note de chaque période remontée à la scolarité:

  • MCC en présentiel **
    NP1 = CC1
    NP3 = (2EF+CC2)/3
    • MCC en distanciel **
      NP1 = CC1
      NP3 = (RF2+CC2)/2

# Calcul des notes des deux bilans:
NB1 = NP1
NB2 = NP3

  1. Notes
    N1 = (NP1+2NP3)/3 # moyenne examen et contrôle continu.
    N2 = ((CC1+CC2)/2+2O)/3 # note de rattrapage (la partie du contrôle continu n'est pas rattrapable)

# Calcul des notes pour les jurys session 1 et 2
NFS1 = N1
NR = N2


The course exists in the following branches:

  • Curriculum - Work Study Education - Alternance 1ere annee
see the course schedule for 2023-2024

Additional Information

Course ID : 3MM1PA
Course language(s): FR

The course is attached to the following structures:

You can find this course among all other courses.


Introduction to Probability and Statistics, MIT Open Courseware
G. Grimmett, Probability Theory and Examples. Oxford.