in a self assessment survey, 60 % claimed that they never indulged in corruption, 40 % claimed that they always - Maths - Probability

Question

in a self assessment survey, 60 % claimed that they never indulged
in corruption, 40 % claimed that they always spoke truth , 20 %
said that they neither told lies nor indulged in corruption a
person is selected what is the probability that 1) he is either
corrupt or tells lies 2)if a person never indulged in
corruption,find probability that he/she tells truth 3)if he speaks
truth,find probability that he/she claims not to be corrupt

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Let A: Persons never indulged in corruptionB: Persons always speak truthPA=60100 ,   PB=40100PA∩B=201001 PCorrupt or tells lie=P A ∪ B=1-PA∩B=1-20100=80100=0
82 P BA=P A∩BPA=2010060100=133 PAB=P A∩BPB=2010040100=12
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