Pour s'habiller, LIAM doit porter : Jne chemise à choisir parmi 4 chemises possibles \( C_{1}, C_{2}, C_{3} \) et \( C_{4} \). In pantalon Jeans à choisir parmi 3 pantalons Jeans \( J_{1}, J_{2} \) et \( J_{3} \). Jne paire de chaussure à choisir parmi deux paires de chaussures \( P_{1} \) et \( P_{2} \) re ci-après représente toutes les possibilités qu'a LIAM pour s'habiller.

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

A certain game involves tossing 3 fair coins, and it pays \( 14 \ell \) for 3 heads, \( 5 \& \) for 2 heads, and \( 2 \& \) for 1 head. Is \( 5 \& \) a fair price to pay to play this game? That is, does the \( 5 \notin \) cost to play make the game fair? The \( 5 \& \) cost to play 1 a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)

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 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

A bag contains 3 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game?