Question

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 1

Answer:

d 1/2

that probability of charles would be a criminal

Answer 2

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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