30. Suppose that we have 9 distinct objects to put in 9 slots and that the 9 slots are partitioned into 3 groups. The
first group has 3 slots, the second has 2 slots and the third has 4 slots. How many ways can we put the objects in
the slots if we do not care about the order in which they got into the groups?
9!
3!(2!)(4!)
___ ___ ___|___ ___|___ ___ ___ ___
31. Three cards are selected from a deck of 52 cards. Determine the probability that they are all face cards.
Brute Force:
12
12(11)(10)
3
(3)(2)(1)
52(51)(50)
52
(3)(2)(1)
3
12
11
10
52
51
50
33.
Four cards are selected from a deck of cards. Determine the probability that all four of them are hearts.
13 12 11 10
52 51 50 49
35.
Four cards are selected from a deck of cards. Determine the probability that all four of them are Jacks.
4
3
2
1
52 51 50 49
Section 2.7 Conditional Probability
36. Use the Venn diagram to answer the probability questions.
a)
( | )
P A B

.21
.44
b)
( | )
P B A
.21
.30
37. Use the table to determine:
a)
( | 1)
P A G
150
650
b)
( 1| )
P G
A
150
945
f)
[( 2
3)|
]
P G
G
AB
75/100
38. Given
(
)
.15 and P(B)=.55
P A
B