Sarah and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the last one two weeks. How many possibilities are there for their vacation?

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct?

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

Given that on average 10 people are killed by sharks worldwide each year. Find the probability that 1 or 2 people are killed in a year.

Jordan Clark works at Subway 4 days a week, which means she smells like bread 4/7 of the time. If you bump into her each of the next 5 days, what is the probability she smells like bread at least 3 of those times?

A shuttle train at a busy airport completes a circuit between two terminals every five minutes. What is the probability than a passenger will wait more than three minutes for a shuttle train?

The waiting time for the train that leaves every 30 minutes is uniformly distributed from 0 to 30 minutes. Find the probability that a person arriving at a random time will wait between 10 and 15 minutes.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)?

A life insurance company sells a $250,000.00 life insurance policy to a 28 year old female in good health for an annual premium of $235.00. A 28 year old female in good health has a 0.999965 chance of surviving the year. What is the expected value for the insurance company if they sell 1000 such policies in a year?

You take out a fire insurance policy on your home. The annual premium is $300. In case of fire, the insurance company will pay you $200,000. The probability of a house fire in your area is 0.0002. 

What is the home owners expected value? 

You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?

You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?

You roll two fair dice. If they land with a sum of 7, you get $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the most reasonable amount to pay to play this game?

Your business is looking into looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30% chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done?

Your friend shuffles a standard deck of cards and says to pick one. If you pick a face card (Jack, Queen, King of each suit) your friend will give you $10. If you pick anything else, you owe your friend $5. How much should you expect to win or lose by playing this game?

Two new movies are being released. According to market research, the first movie has an 85% chance of making $32,000,000. The second movie has a 33% chance of making $120,000,000. What is the expected earnings for these two movies?

You are going to pick a marble from the container, put it back, and take another. If you get two yellow, you win $200. If you get one yellow on either pick, you get $50. If you pick two red, you get $100. Anything else earns $0. What is the expected value of this game?