1.   Find the fair game.
    A. Jody and Mitch each flip a coin. Jody scores two points if the coins are the same. Mitch scores one point if the coins are different.
    B. Jody and Mitch each flip a coin. Jody scores one point if the coins are the same. Mitch scores two points if the coins are different.
    C. Jody and Mitch each flip a coin. Jody scores three points if the coins are the same. Mitch scores two points if the coins are different.
    D. Jody and Mitch each flip a coin. Jody scores one point if the coins are the same. Mitch scores one point if the coins are different.
    Hint

  2.   Design a pair of dice so the probability that a player using Die A scores a point on a turn is. In other words, the player using Die A has a chance of rolling a higher number than the player using Die B.
    A. Put a 5 on each face of Die A. Put a 1 on three faces of Die B and a 2 on the other three faces.
    B. Put a 1 on three faces of Die A and a 6 on the other three faces. Put a 3 on one face of Die B and a 5 on the other five faces.
    C. Put a 2 on four faces of Die A and a 4 on the other two faces. Put a 5 on each face of Die B.
    D. Put a 4 on each face of Die A. Put a 3 on five faces of Die B and a 6 on the other face.
    Hint

  3.   Jack and Thomas have two chips. One is red on both sides and one is red on one side and blue on the other side. Each boy tosses a chip. Jack scores one point if both chips are the same. Thomas scores one point if the chips are different. What is the probability that Jack will score a point?
    A. B.
    C. D.
    Hint

  4.   Jack and Thomas have two chips. One is red on both sides and one is red on one side and blue on the other side. Each boy tosses a chip. Jack scores one point if both chips are the same. Thomas scores one point if the chips are different. Change the scoring so that the game is fair.
    A. Jack scores 1 point if the chips are the same. Thomas scores 3 points if the chips are different.
    B. Jack scores 3 points if the chips are the same. Thomas scores 2 points if the chips are different.
    C. Jack scores 2 points if the chips are the same. Thomas scores 3 point if the chips are different.
    D. Jack scores 2 points if the chips are the same. Thomas scores 2 points if the chips are different.
    Hint

  5.   Suppose you have a bag filled with 6 blocks numbered from 1–6. You consecutively choose three blocks, without replacement to form a three-digit number. You choose the first number and put it in either the hundreds, tens, or ones place. You choose the next number and put it in one of the remaining places, and so on. The object of the game is to create the greatest three-digit number. What is the probability of getting a higher number in the third draw (than the second draw) if a 2 is in the ones place and the second draw is a 4?
    A. B.
    C. D.
    Hint



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