A
figure skater competing at a local competition needs a mean of 5.8
(out of a total 6.0) to win the first-place medal. If there are
three judges and one of them gives her a 5.5, what is the lowest
score she can get from the remaining two judges if she still wants
to finish first?
(A)
4.8
(B)
5.2
(C)
5.5
(D)
5.9
(E)
6.0
2.
Suppose
events A, B, and C are
independent. If and what is P(C)?
(A)
.05
(B)
.2
(C)
.25
(D)
.5
(E)
2
3.
Johnny
has a 1% chance of getting a perfect score on the SAT II Math IIC.
If he has a 5% chance of getting a perfect score on the SAT II Writing,
what is the probability that he won’t get a perfect
score on either test?
(A)
.05
(B)
.15
(C)
.50
(D)
.94
(E)
.99
4.
Joey
wants to buy a three-scoop ice cream cone. There are 15 flavors
to choose from. How many different three-scoop combinations can
Joey get?
(A)
5
(B)
15
(C)
150
(D)
450
(E)
455
5.
A
casting agent for a movie is looking to fill three female roles:
the beautiful blonde, the beautiful brunette, and the beautiful
redhead. If there are 40 actresses vying for one of the roles, how
many different castings can there be? (Note:
it matters which role each actress gets.)
(A)
2032
(B)
15, 984
(C)
21, 320
(D)
59,280
(E)
120,000
6.
Suppose
set A has 9 elements and set B has
4 elements. If C is the number of elements in and D is the number of
elements in what is the minimum value
of C – D?
and 
what is P(C)?
and D is the number of
elements in 
what is the minimum value
of C – D?
