Determining the basic probability - set theory.
The following contingency table provides the breakdown of 3 types of laptops and 3 categories of prices:
Price Categories
|
Type
|
High
|
Moderate
|
Low
|
Total
|
A
|
34
|
12
|
44
|
90
|
B
|
23
|
64
|
33
|
120
|
C
|
16
|
58
|
76
|
150
|
Total
|
73
|
134
|
153
|
360
|
If a laptop is picked at random;
(1) What is the possibility that it is (Type B) And (in the High price category)?
(2) What is the possibility that is type A given that it is not High Priced?
(3) What is the likelihood that it is Type A or High Priced?
(4) 2 laptops are selected at random without replacement, what is the probability that both are high priced?