Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for each of the thnree pieces of the land is shown below. Which piece does each person receive? Do they receive a fair share using the lone divider method? Piece 1 Piece 2 Piece 3 Henry 80 100 120 Juan 100 100 100 Sarah 60 90 150 Henry's bid: Piece 2 and Piece 3 Sarah's bid: Piece 3 a. Henry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. Everyone receives a fair share. X b. Henry receives Piece 3, Sarah receives 3, and Juan receives Piece 2. Everyone receives a fair share. c. Henry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. No one receives a fair share. d. Henry receives Piece 2, Sarah receives 1, and Juan receives Piece 3. Everyone receives a fair share.

5 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids. The winner offers a bid of $51,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?

4. April and Marsha want to share a large bag of skittles. There are 500 skittles in the bag. There are: • 200 red ones, • 200 green ones, and • 100 purple ones. Marsha values: • 200 red ones at a total of $4, 200 green ones at a total of $6, and 100 purple ones at a total of $5. April is the divider and in one half of the pile puts: • 90 red skittles • 85 green skittles • 75 purple skittles a.) What is a fair share for Marsha? | Show your work or explain your reasoning here: b.) What is the value of this half for Marsha? Fill in the chart below. Value to Marsha per piece Skittle color Total value of each color Red Green Purple c.) Is this value a fair share for Marsha? Please explain your answer. Write your response below:

Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)