Exhibit 4-1 . The probability table below describes the relationship between Gen
ID: 3333354 • Letter: E
Question
Exhibit 4-1. The probability table below describes the relationship between Gender and Favorite Subject of students in a liberal college.
Gender
Favorite Subject
Total
Math
English
Science
Male
0.200
0.050
0.175
0.425
Female
0.100
0.325
0.150
0.575
Total
0.300
0.375
0.325
1.000
Probability of selecting an individual who is female or prefers Science
Probability of selecting someone who likes Math or Science.
Probability of selecting a male who likes English
Probability of selecting a Male or Female?
Gender
Favorite Subject
Total
Math
English
Science
Male
0.200
0.050
0.175
0.425
Female
0.100
0.325
0.150
0.575
Total
0.300
0.375
0.325
1.000
Explanation / Answer
a) Now the Probability of selecting an individual who is female or prefers Science is computed as:
= P( female ) + P( science ) - P( female or science )
= 0.575 + 0.325 - 0.15
= 0.75
Therefore 0.75 is the required probability.
b) Now the Probability of selecting someone who likes Math or Science is computed as:
P( math ) + P( science )
= 0.3 + 0.325
= 0.625
Therefore 0.625 is the required probability here.
c) Now the Probability of selecting a male who likes English is computed as:
P( male and english ) = 0.05
Therefore 0.05 is the required probability here.
d) Probability of selecting a Male or Female is computed as:
P( male ) + P ( female ) = 1
Therefore 1 is the required probability here.
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