The Police Officer is 80% sure that the criminal is either Alex or Charles. He is 40% sure that the
criminal is Alex, and 40% sure that the criminal is Charles. Given that Alex was not indulged in the
crime, what is the probability that Charles would be a criminal?
A) 1/3
B) 2/3
C) 1/4
D) 1/2
Answers
Answer:
d 1/2
that probability of charles would be a criminal
Given :- The Police Officer is 80% sure that the criminal is either Alex or Charles. He is 40% sure that the criminal is Alex, and 40% sure that the criminal is Charles. Given that Alex was not indulged in the crime, what is the probability that Charles would be a criminal?
A) 1/3
B) 2/3
C) 1/4
D) 1/2
Answer :-
→ The Police Officer is sure that criminal is either Alex or Charles = 80%
and,
→ The Police Officer is sure that criminal is Alex = 40%
→ The Police Officer is sure that criminal is Charles = 40%
since given thag, Alex was not indulged in the
crime .
then, Charles would be a criminal .
therefore,
→ Probability of charles = 40%/80% = (1/2) (Ans. D)
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