400 people polled for two candidates A and B in
election, their response was
Candidate A
Against - 220
Favour - 180
Candidate B
Against - 150
Favour - 250
If a person was selected at random from the people
who polled, what is the probability he is in favour of A
but against B?
(a) 5/16
(b) 1/3
(c) 11/32
(d) 13/32
Answers
Given : 400 people polled for two candidates A and B in election . Their responses Data
To find : If a person was selected at random from the people who polled, what is the probability he is in favour of A but against B
Solution:
Candidate Against Favour Total
A 220 180 400
B 150 250 400
in favour of A but against B?
Facour of A = (180/400)
Against B = (150/400)
favour of A but against B = (180/400)(150/400)
= 270/1600
= 27/160
in favour of A but not against B?
Favour of A = (180/400)
Not Against B = (250/400)
favour of A but not against B = (180/400)(250/400)
= 450/1600
= 45/160
= 9/32
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