Ch 1 - General Probability

Question 1

element

Answer 1

is a possible outcome of an experiment

Question 2

is a possible outcome of an experiment

Answer 2

element

Question 3

set

Answer 3

is a collection of zero or more elements

Question 4

is a collection of zero or more elements

Answer 4

set

Question 5

Venn Diagram

Answer 5

also called set diagram which shows relationship between a finite number of sets

Question 6

also called Set Diagram which shows relationships between a finite number of sets

Answer 6

Venn Diagram

Question 7

Set Diagram

Answer 7

Venn Diagram

Question 8

Sample Space

Answer 8

is the collection of all possible outcomes

Question 9

is the collection of all possible outcomes

Answer 9

Sample Space

Question 10

Event

Answer 10

is a subset of the Sample Space - in words

Question 11

is a subset of the Sample Space - in words

Answer 11

Event

Question 12

Union

Answer 12

of multiple sets is the set of all elements that are contained in at least one of the sets.

-Union of two events, F and G, is the events that either F, or G, or both F and G occur.

Question 13

Intersection

Answer 13

multiple sets is the set of elements that are common for each set

Question 14

Difference

Answer 14

between set F and set G is the set containing all the elements that are in F but not in G

d’n: F - G

Question 15

between set F and set G is the set containing all the elements that are in F but not in G

d’n: F - G

Answer 15

Difference

Question 16

Mutually Exclusive

Answer 16

M and N are mutually exclusive if they cannot occur at the same time

Question 17

Disjoint also called

Answer 17

Mutually Exclusive

Question 18

Complement of set T

Answer 18

• all the elements not in T
• is the set containing all of the elements in the sample space except the elements that are in T

Question 19

If A ⊂ B then

Answer 19

Pr(A) ≤ Pr(B)

Question 20

Pr(A | B) =

Answer 20

Pr(A ∩ B)

/

Pr(B)

Question 21

Pr(A’ | B) =

Answer 21

Pr(A’ ∩ B)

/

Pr(B)

Question 22

Pr(A | B) + Pr(A’ | B) =

Answer 22

[Pr(A ∩ B) + Pr(A’ ∩ B)]

/

Pr(B)

=

1

Question 23

Pr(A | B) • Pr(B)

Answer 23

Pr(A ∩ B)

Question 24

True or False

Pr(A ∩ B) = Pr(B ∩ A)

Answer 24

TRUE