Автомобиль подъезжает к перекрёстку. Вероятность элементарного события «автомобиль свернёт вправо» равна 0,2 , вероятность элементарного события «автомобиль свернёт влево» равна 0,2 вероятность элементарного события «автомобиль поедет прямо» равна 0,16 . Найди вероятность события \( A \) «автомобиль не поедет обратно».

A box contains 3 red, 11 blue, and 9 green marbles. a) Two marbles are selected at random with replacement. Find the probability they are both red. b. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is green. c. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is yellow. Calculator

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.)

Une roseraie livre des fleuristes par lots de 100 roses. Afin de fidéliser ses clients, elle rembourse un lot lorsqu'il cor strictement plus de 5 roses fanées, Une étude a montré que \( 4 \% \) des roses livrées sont fanées. On choisit un lot au hasard note \( X \) la variable aléatoire qui compte le nombre de roses fanées de ce lot. 1) Quelle est la loi suivie par la variable aléatoire \( X 7 \) Justifier. 2) A laide du menu a Probabilités o de la calculatrice, déterminer la probabilité, arrondie à \( 10^{-3} \) près, que : a. 8 roses exactement soient fanées. b. 4 roses ou moins soient fanées. c. le lot soit remboursé au fleuriste. 3) Le chef des ventes de la roseraie souhaite que le nombre de lots remboursés n'excède pas \( 1 \% \) des lots livrés. Pot il augmente le nombre minimum \( k \) de roses fanées à partir duquel le lot est remboursé. A laide de la calculatrice, déterminer la valeur de cet entier \( k \).

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 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?