The probability that a comic book reader in a particular city prefers comics published by company a is 25%. the probability that a comic book reader in the city is male is 70%. if the probability of a comic book reader in the city being a male, given that the reader prefers company a's comics, is 40%, what is the probability of the reader preferring company a's comics, given that the reader is a male?

Probability of the reader preferring Company A's comics, given that the reader is a male -0.14

Step-by-step explanation:

Given : Comic published by Company A =25% ⇒

Probability that a comic book reader is male=70% ⇒

Probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics= 40% ⇒

To find : Probability of the reader preferring Company A's comics, given that the reader is a male =

Solution : Using Bayes' theorem, which state that

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

Therefore, Probability of the reader preferring Company A's comics, given that the reader is a male -0.14

54/3 is 18 so 18 is your answer