In a game of one-spot Keno, a card is purchased for $2.00. It allows a player to choose one number from 1 to 80. The dealer then chooses twenty numbers at random from 1 to 80. If the player's number is among the numbers chosen by the dealer then the player is paid $3.60, but does not get to keep the $2.00 paid to play the game. What is the expected value of buying one card? The expected value of buying one card ?

A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 800 tickets. There is one $2,000 grand prize, three $400 second prizes, and sixteen $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. $ 5.6 Hint: Hint

In the USA, roulette wheels have 38 slots. They are the numbers 1 through 36, 0, and 00.  Half of the numbers 1 through 36 are red, and the other half are black, so there are 18 red numbers and 18 black numbers.  The numbers 0 and 00 are green. If you bet $5 on red, you win $5 if the ball lands on a red number. Otherwise, you lose your $5. In class we found your expected value from this bet was $-.26.  However, if you play in Atlantic City, they give you a break when betting on a single color like red and if the ball lands on 0 or 00 you only lose half your bet, or $2.50.  If the ball lands on black you still lose your whole bet of $5.00.  Find the expected value of betting $5 on red in Atlantic City.

Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b.   What is the probability of losing a game? Your answer is   Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is   Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is

An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. To play you must pay him $2. If you pick a spade you win $9 what is the expected value for you if you play this game with the aardvark?

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 500 tickets. There is one $3,000 grand prize, three $300 second prizes, and sixteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. $4

In an​ experiment, college students were given either four quarters or a​ $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts​ (a) through​ b. a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)   b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 600 tickets. There is one $1,000 grand prize, three $400 second prizes, and eleven $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.