About this Course

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Shareable Certificate
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Flexible deadlines
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Approx. 25 hours to complete
French
Subtitles: French
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Approx. 25 hours to complete
French
Subtitles: French

Offered by

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École Polytechnique

Syllabus - What you will learn from this course

Content RatingThumbs Up93%(1,072 ratings)Info
Week
1

Week 1

3 hours to complete

L'ESPACE DE PROBABILITÉ (1/3)

3 hours to complete
8 videos (Total 108 min), 4 readings, 1 quiz
8 videos
Séance 2 : EXPÉRIENCES ALÉATOIRES - ÉVÉNEMENTS ALÉATOIRES16m
Séance supplémentaire : RAPPELS DE THÉORIE DES ENSEMBLES21m
Séance 3 : PROBABILITÉ SUR UN ESPACE D'ÉTAT FINI18m
Le « paradoxe » du Chevalier de Méré7m
Le jeu du Blackjack6m
La formule d'inclusion-exclusion15m
Distribution aléatoire du courrier8m
4 readings
Le « paradoxe » du chevalier de Méré (*)10m
Le jeu du Blackjack (*)10m
La formule d'inclusion-exclusion (**)10m
Distribution aléatoire du courrier (**)10m
1 practice exercise
QCM de la semaine8m
Week
2

Week 2

3 hours to complete

L'ESPACE DE PROBABILITÉ (2/3)

3 hours to complete
8 videos (Total 114 min), 3 readings, 1 quiz
8 videos
Séance 4 (2/2) : PROBABILITÉ UNIFORME SUR UN ESPACE D'ÉTAT FINI14m
Séance Supplémentaire : RAPPELS DE COMBINATOIRE11m
Séance 5 (1/2) : DÉFINITION GÉNÉRALE D'UNE PROBABILITÉ - TRIBU21m
Séance 5 (2/2) : DÉFINITION GÉNÉRALE D'UNE PROBABILITÉ - TRIBU27m
Le «paradoxe» des anniversaires8m
Deux manières de tirer sans remise8m
La statistique de Bose-Einstein4m
3 readings
Le « paradoxe » des anniversaires (*)10m
Deux manières de tirer sans remise (*)10m
La statistique de Bose-Einstein (**)10m
1 practice exercise
QCM de la semaine12m
Week
3

Week 3

4 hours to complete

L'ESPACE DE PROBABILITÉ (3/3)

4 hours to complete
11 videos (Total 156 min), 6 readings, 1 quiz
11 videos
Séance 6 (2/3) : FORMULE DE BAYES12m
Séance 6 (3/3) : INDÉPENDANCE18m
Séance 7 : THÉORÈME DE BOREL-CANTELLI33m
Séance 8 : VARIABLES ALÉATOIRES27m
Sur la probabilité de réussite à un examen6m
Sur l'indépendance d'événements2m
Évaluation d'un test de dépistage9m
Recherche dans des tiroirs6m
Événements indépendants9m
Produit d'espaces de probabilité13m
6 readings
Sur la probabilité de réussite à un examen (*)10m
Sur l'indépendance d'événements (*)10m
Évaluation d'un test de dépistage (*)10m
Recherche dans des tiroirs (**)10m
Événements indépendants (**)10m
Produit d'espaces de probabilité (**)10m
1 practice exercise
QCM Semaine10m
Week
4

Week 4

3 hours to complete

VARIABLES ALÉATOIRES SUR UN ESPACE FINI OU DÉNOMBRABLE (1/2)

3 hours to complete
9 videos (Total 118 min), 5 readings, 1 quiz
9 videos
Séance 2 : ESPÉRANCE19m
Séance 3 (1/2) : VARIANCE ET MOMENTS23m
Séance 3 (2/2) : VARIANCE ET MOMENTS8m
Clés5m
Interviews2m
Loi de Pascal8m
Tribu et loi d'une variable aléatoire10m
Jeu de trois dés6m
5 readings
Clés (*)10m
Interviews (*)10m
Loi de Pascal (**)10m
Tribu et loi d'une variable aléatoire (**)10m
Jeu de trois dés (**)10m
1 practice exercise
QCM Semaine10m

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Frequently Asked Questions

  • Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:

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