30. A bin contains 10 red chips, 8 white chips and 2 blue chips. Three chips are selected without replacement.
Determine:
a)
The probability that all three chips are white.
b)
The probability that all three chips are red.
c)
The probability that all three chips are blue.
31.
Four cards are selected from a deck of cards. Determine the probability that all four of them are hearts.
32.
Four cards are selected from a deck of cards. Determine the probability that all four of them are red.
33.
Four cards are selected from a deck of cards. Determine the probability that all four of them are Jacks.
Section 2.7
34. Use the Venn diagram to answer the probability questions.
a)
(
 )
P A B
b)
( 
)
P B A
c)
(
 )
P A C
d)
( 
)
P C A
e)
[
(
)]
P A
B
C
f)
[(
)
]
P B
C
A
g)
[
(
)]
P A
B
C
h)
[(
)
]
P B
C
A
i)
( 
)
C
P B A
j)
(
 )
C
P A
B
j)
[(
)(
)]
P A
B
A
C
k)
[(
)(
)]
P A
B
A
B
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35. Use the table to determine:
a)
(

1)
P A G
b)
( 1
)
P G
c)
(
 )
P A B
d)
[
1(
)]
P G
A
B
e)
[( 1
2)(
)]
P G
G
A
B
f)
[(
2
3)
]
P G
G
AB
36. Given
(
)
.15 and P(B)=.55
P A
B
, determine
(
 )
P A B
37. Given
(
)
.6 , P(A)
.22 and P(B)
.5
P A
B
, determine
(
 )
P A B
38. An urn contains 6 white, 8 red and 3 blue chips. A person selects 4 chips without replacement. Determine the
following probabilities:
a) P(Exactly 2 chips are white)
b) P(All of the chips are blue)
c) P(The third chip is red)
d) P(The fourth chip is blue  The first 3 were white)
39. The first choice that a person makes is between M and N. The probabilities are
given in the tree diagram below. The second choice a person makes is between R
and S. Determine the following probabilities. Write in your final decimal answer.
a)
( )
P S
b)
( )
P R
c)
(
)
P N
d)
(
)
P M
R
e)
(
)
P N
R
f)
( 
)
P S N
g)
(
 )
P M S
40. Seven cards are selected from a standard deck of cards.
a)
Determine the probability that exactly 5 of them are hearts.
b)
Determine the probability that there are 3 hearts and 3 diamonds.
c)
Determine the probability that there are 3 hearts, 3 diamonds and 1 spade.
d)
Determine the probability that there are 2 Aces and 2 Kings.
e)
Determine the probability that there are 2 Aces and 3 Kings.
41. Five cards are selected from a deck of cards. Determine the following (not so easy) probabilities:
a) We have a full house.
b) We have twopair.
c) We have 3 of a kind.
d) We have a straight.
e) We have a flush.
f) We do not have a pair.
Blood
Type
Total
Ethnic Group
O
A
B
G1
300
150
175
25
G2
125
650
15
10
G3
165
145
175
65
Total
590
945
365
100
A
.
.
AB
650
800
550
2000