Aufgaben \( \begin{array}{l}1 \quad \text { In einem Skatspiel gibt es } 32 \text { Karten. Vier davon sind Buben, vier Damen und vier Könige. Bei } \\ \text { einem Spiel wird vereinbart, dass ein Spieler } 1 € \text { Einsatz zahlen muss und dann einen Karte zie- } \\ \text { hen darf. Bei einem Buben erhält er } 1 €, \text { bei einer Dame } 1,50 € \text { und bei einem König } 2,50 \in \text {. } \\ \text { Lohnt sich das Spiel für den Spieler? }\end{array} \)

A bag contains 2 gold marbles, 6 silver marbles, and 27 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?

Question 18 Arjun buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 7 oatmeal cookies. What is the probability that Arjun randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you ansiver as a reduced fraction. Question Help: - Calculator

D. 300 15. En una bolsa hay varias docenas de caramelos de 4 sabores distintos. El número mínimo de caramelos que deben extraerse de la bolsa, sin mirar su contenido, para tener la seguridad de haber sacado 5 del mismo sabor es: A. 10 B. 13 C. 17 D. 19

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. \( P(A)=0.45, P(B)=0.45 \) and \( P(A \operatorname{and} B)=0.10 \). \( P(\operatorname{not} B \mid A)=\square \) Question Help: \( \square \) Video

Tickets for a raffle cost \( \$ 7 \). There were 800 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1000 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two décimal places. Expected Value \( =\$ \$ \)