I. Vrai ou faux ? Compétence Raisonner Les affirmations suivantes sont-elles vraies ou fausses? Justifier votre réponse. Soient A et B deux événements d'un univers \( \Omega \) de probabilités non nulles. 1. L'événement A et son événement contraire \( \bar{A} \) sont indépendants. F car \( \mathrm{P}(A) \) u' \( ^{\prime} \)

QUESTÃo 4: André está realizando um teste de múltipla escolha, em que cada questão apresenta 5 alternativas, sendo uma e apenas uma correta. Se André sabe resolver a questão, ele marca a resposta certa. Se ele não sabe, ele marca aleatoriamente uma das alternativas. André sabe \( 60 \% \) das questões do teste. Então, a probabilidade de ele acertar uma questão qualquer do teste (ísto é, de uma questão escolhida ao acaso) é igual a: a) 0,62 b) 0,70 c) 0,68 d) 0,72 e) 0,58

Ben buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Ben randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you Inswer as a reduced fraction. Question Help: \( \square \) Video Submit Question

Kyd and North are playing a game. Kyd selects one card from a standard 52 -card deck. If Kyd selects a face card Jack, Queen, or King), North pays him \( \$ 6 \). If Kyd selects any other type of card, he pays North \( \$ 3 \). a) What is Kyd's expected value for this game? Round your answer to the nearest cent. \( \$ \) b) What is North's expected value for this game? Round your answer to the nearest cent. \$ c) Who has the advantage in this game? Select an answer -

QUESTÃO 6: No lançamento simultâneo de dois dados a \( \begin{array}{llll}\text { probabilidade de se obter soma menor que } 8 \text { é? } \\ \begin{array}{llll}\text { a) } 5 / 36 & \text { b) } 1 / 12 & \text { c) } 7 / 12 & \text { d) } 5 / 18 \\ \text { e) } 5 / 12\end{array}\end{array} \)

In parts (a) and (b) consider the following two events and then determine whether the events are independent or dependent. (a) Event 1: Owning a cat, Event 2: Planting a flower garden Independent Dependent (b) Event 1: One randomly selected student gets an A on the biology exam, Event 2: One randomly selected student gets selected to speak at graduation Independent Dependent