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WorksheetsExpected Value
Total questions: 8
Worksheet time: 4mins
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?
$3
$18
$9
$2
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?
$80
$8.75
$10.25
$12.50
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?
$2
$5
$8
$10
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?
$81,000 profit
$81,000 loss
$21,000 profit
$21,000 loss
Tianna works at a call center. Between 12 PM and 4 PM only 5% of her attempted calls pick up. Between 4 PM and 8 PM, 15% of her attempted calls pick up. If she expects to make 80 calls between 12 PM and 4 PM and 120 calls between 4 PM and 8 PM, how many total pick ups can she expect during her entire shift?
Around 5
Around 15
Around 20
Around 50
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?
Lose $6.15
Win $6.15
Lose $1.50
Win $1.50
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?
Around $15 million
Around $20 million
Around $30 million
Around $60 million
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?
$60
$33.33
$44.33
$20
