1.
Find the fair game.
A.
Walter and Jerome each toss a number cube and add the numbers. Walter scores one point if the total is greater than 7. Jerome scores one point if the total is less than 7.
B.
Walter and Jerome each toss a number cube and add the numbers. Walter scores two points if the total is 7 or greater. Jerome scores three points if the total is less than 7.
C.
Walter and Jerome each toss a number cube and add the numbers. Walter scores one point if the total is greater than 7. Jerome scores one point if the total is 7 or less.
D.
Walter and Jerome each toss a number cube and add the numbers. Walter scores one point if the total is 7 or greater. Jerome scores one point if the total is less than 7.
Hint
2.
Find the fair game.
A.
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.
B.
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.
C.
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.
D.
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.
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.
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 4 is in the tens place and the second draw is a 5?
A.
B.
C.
D.
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