1.
Ben, Jenny, Angela, and Craig all ran in the 1-mile cross-country race. How many ways can the four people finish the race?
A.
8
B.
24
C.
16
D.
20
Hint
2.
Three whole numbers have a mean of 4. How many such whole-number triples exist?
A.
19
B.
20
C.
17
D.
18
Hint
3.
Suppose two players each roll a die and find the difference between the numbers, subtracting the lesser number from the greater number. What is the probability that the difference is 0 or 1?
A.
B.
C.
D.
Hint
4.
Suppose one player rolls a 6-sided die numbered 1 to 6, and a second player rolls an 8-sided die numbered 1 to 8. They find the difference between the numbers subtracting the lesser number from the greater number. Which difference gives the greatest probability?
A.
1
B.
4
C.
2
D.
3
Hint
5.
In the three-team playoff structure below, what is the probability that Team C will win assuming every team has an equal chance of winning?
A.
B.
C.
D.
Hint
6.
In the six-team playoff structure below, what is the probability that Team B will win assuming every team has an equal chance of winning?
A.
B.
C.
D.
Hint