4. Roger is packing a lunch to bring to school. There are 2 types of sandwiches to choose from and 4 types of fruit. For the drink, Roger has 4 options. Lastly, there are 3 possibilities for the dessert. How many different lunches can Roger pack? 5. The basketball season is almost over, and the coach is trying to order a trophy to award to the team's MVP. The trophy company has 7 different bases and 9 different figurines of people playing basketball. The MVP's name can be engraved in 6 different fonts. How many different trophies can the coach order?

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 \( =\$ \$ \)

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?

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

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

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 \( \$ 4 \). If Kyd selects any other type of card, he pays North \( \$ 2 \). 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 - Calculator