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 \( \$ 11 \). There were 730 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1400 \) 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 decimal places. Expected Value \( =\$ \$ \)

There is a 0.99962 probability that a randomly selected 23 -year-old female lives through the year. An insurance company wants to offer her a one-year policy with a death benefit of \( \$ 1,000,000 \). How much should the company charge for this policy if it wants an expected return of \( \$ 600 \) from all similar policies? The company should charge \( \$ \square \). (Round to the nearest dollar.)

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5 The probability is : \( \frac{1}{53} \) (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is:

Round your answer to 4 decimal places, if necessary. What is the probability of pulling out: a) a face card? \( P( \) face \( )= \) b) a diamond or a spade? \( P \) (diamond or spade) \( =\square \) c) a 3 or a 9 ? \( P(3 \) or 9\( )= \) d) an ace or a heart? \( P( \) ace or heart \( )=\square \) e) a face card or a spade? \( P( \) face or spade \( )= \) f) a 7 or a red card? \( P(7 \) or red \( )=\square \)

A card is drawn randomly from a standard 52 -card deck. Find the probability of the given event. (a) The card drawn is 5 The probability is : (b) The card drawn is a face card (Jack, Queen, or King) The probability is: (c) The card drawn is not a face card.