1. You have three boxes: a red box, a blue box, and a green box. Inside each box is a single ball of the same colour as the box. Someone takes each ball out and puts it in a different box. You open the red box and discover a green ball. What colour ball is in the blue box?
2. Read the following three statements and determine which are true and which are false:
i. There are three numbered statements.
ii. Two of the numbered statements are not true
iii. This statement is true.
3. During the Great Depression, two women each had 30 apples to sell. One sold her at 2 for a nickel; the other, at 3 for a nickel. They ended the day with 75 cents and 50 cents, respectively, or $1.25 in all. The next day, they decided to pool their apples and sell them at 5 for a dime (2 for a nickel and 3 for a nickel). At day's end they had only $1.20. A dispute arose over the missing nickel. What happened to it?
4. John does not know the pairings of the final eight teams remaining in the NCAA tournament. Only four wil advance to the finals, and he hopes that his WKU team is one of them. He finds that the Nashville Banner has picked UCLA, UT, OU, and UK to advance; the Courier-Journal has picked UK, OU, MSU, and UNCC; and the Daily News has picked UK, UT, MSU and OSU. Determine the pairings of the final eight.
5. Ten teams play in a tournament. Each fame involves two teams. If the tournament consists of twenty-three games, explain why some team must play five or more games.
6. Thirty-five students are seated in five rows and seven columns. Is it possible for the students to change seats if every student must move exactly one sea to the left, right, front or back?
7. "Mr. Steuben has a hundred dollars or more in his wallet," said Paula. "Mr.Steuben has less than a hundred dollars in his wallet," said Pauline. "Well, I know he has some money in his wallet," said Paulette. If just one of these statements is true, then how much money does Mr.Steuben have in his wallet?
8.Mrytle has two white balls, two black balls and two boxes. She may place the balls in the boxes in any way that she pleases. Her husband, Max, will then pick a box without looking into it and with his eyes closed, pick out a ball. If he draws a white ball, the couple wins $500. How should Myrtle arrange the balls to maximize the probability of wining?
2. Read the following three statements and determine which are true and which are false:
i. There are three numbered statements.
ii. Two of the numbered statements are not true
iii. This statement is true.
3. During the Great Depression, two women each had 30 apples to sell. One sold her at 2 for a nickel; the other, at 3 for a nickel. They ended the day with 75 cents and 50 cents, respectively, or $1.25 in all. The next day, they decided to pool their apples and sell them at 5 for a dime (2 for a nickel and 3 for a nickel). At day's end they had only $1.20. A dispute arose over the missing nickel. What happened to it?
4. John does not know the pairings of the final eight teams remaining in the NCAA tournament. Only four wil advance to the finals, and he hopes that his WKU team is one of them. He finds that the Nashville Banner has picked UCLA, UT, OU, and UK to advance; the Courier-Journal has picked UK, OU, MSU, and UNCC; and the Daily News has picked UK, UT, MSU and OSU. Determine the pairings of the final eight.
5. Ten teams play in a tournament. Each fame involves two teams. If the tournament consists of twenty-three games, explain why some team must play five or more games.
6. Thirty-five students are seated in five rows and seven columns. Is it possible for the students to change seats if every student must move exactly one sea to the left, right, front or back?
7. "Mr. Steuben has a hundred dollars or more in his wallet," said Paula. "Mr.Steuben has less than a hundred dollars in his wallet," said Pauline. "Well, I know he has some money in his wallet," said Paulette. If just one of these statements is true, then how much money does Mr.Steuben have in his wallet?
8.Mrytle has two white balls, two black balls and two boxes. She may place the balls in the boxes in any way that she pleases. Her husband, Max, will then pick a box without looking into it and with his eyes closed, pick out a ball. If he draws a white ball, the couple wins $500. How should Myrtle arrange the balls to maximize the probability of wining?