# The event that happens when A doesn't occur ---- ## The complement /ˈkɒmplɪment/ of an event A, denoted by $\overline{A}$ (or $A'$) --- # Lancer un dé ---- ## To roll a die (pl. dice) --- # Lancer une pièce ---- ## To toss a coin (or to flip a coin) --- # A polyhedral object, usually cubic, used for generating random numbers ---- ## A die (pl. dice) --- # The die is fair ---- ## If every number of the die has an equal chance of being rolled (1/6 on a cubic 6-sided die) --- # The die is biased ---- ## If every number of the die has not an equal chance of being rolled (1/6 on a cubic 6-sided die) --- # The possible set of all outcomes of an experiment or its measurements. It is usually denoted by S or $\Omega$. ---- ## The sample space --- # A subset of a sample space of an experiment. ---- ## An event --- # The empty subset of the sample space ---- ## The null /nʌl/ event of a sample space --- # Le coefficient binomial $k$ parmi $n$ ---- ## The expression $\displaystyle \binom{n}{k}$ is read $n$ choose $k$ --- # Un as (d'un jeu de cartes) ---- ## An ace (from a deck of cards) --- # Piques, coeurs, carreaux, trèfles ---- ## In a standard deck of cards, we can find: spades, hearts, diamonds, clubs ---- ## /speɪd/, /hɑːt/, /klʌb/, [/ˈdaɪmənd/](https://www.oxfordlearnersdictionaries.com/us/media/english/uk_pron/d/dia/diamo/diamond__gb_2.mp3) --- # Une variable aléatoire ---- ## A random variable /ˈveəriəbl/ --- # L'espérance mathématique ---- ## The mathematical expectation --- # La mise (à un jeu) ---- ## The bet --- # The experiment being carried out (for example, throwing a die) ---- ## The trial --- # Any possible result of a trial, e.g. throwing a die and getting 1 ---- ## The outcome --- # Two or more events which have an equal chance of happening, e.g. getting a head or tail when tossing a coin ---- ## Equally likely events --- # The probability that event A occurs ---- ## $P(A)$ --- # The probability that both event A and event B occur ---- ## $P(A\cap B)$ --- # The probability that either event A or event B occurs ---- ## $P(A\cup B)$ --- # The probability that event A occurs, given that event B has occured ---- ## $P(A|B)$ --- # Events A and B have no outcomes in common (no intersection) ---- ## Events A and B are mutually exclusive events --- # The outcome of one does not depend on the outcome the other ---- ## Two events are independent --- # Une année bissextile ---- ## A leap year --- # To change or influence something with the result that it is not accurate, fair, normal, etc ---- ## To skew /skjuː/ sth. Ex: To skew the statistics --- # Tirer de/puiser dans ---- ## To draw sth. from/to pick from. Ex: Draw a card from a standard shuffled deck of 52 cards --- # En moyenne ---- ## On average ---- ## /ˈævərɪdʒ/ --- # Mélanger le jeu/paquet de cartes ---- ## To shuffle the deck of cards --- # Prendre/faire à tour de rôle ---- ## To take it in turns/To take turns --- # The chance of something happening/how likely something is to happen ---- ## The likelihood --- # La probabilité de l'événement $A$ sachant que $B$ est réalisé/la probabilité de $A$ sachant $B$ ---- ## The probability of $A$ given $B$ --- # Tous les événements élémentaires (ne contenant qu'une issue) sont équiprobables ---- ## All the outcomes are equally likely <style> .slides {background-image:url("https://raw.githubusercontent.com/tremulotmaths/latex/master/von_koch_transparent.png");} .slides h1 {padding:2em; font-family:Arial; background-color:#133E29; opacity: 0.9;color:white; font-size:1em!important;} .slides h2 {background:#131750 ; opacity: 0.9;padding : 2em 0.2em; color:white; font-size:1em!important;} .slides h4 {margin-bottom:1.5em} </style>