Answer to Question #137604 in Statistics and Probability for TOMSON MASUKE

Question

A person is selected at random. What is the probability that the person is 30 years old given that he/she liked the design?

Answer 1

P(30 years old|liked the design)=(P(liked the design|30 years old)*P(30 years old))/P(liked the design)

where P(30 years old|liked the design) is a conditional probability the likelihood of event "the person is 30 years old" occuring given that he/she liked design is true. P(liked the design|30 years old) is a conditional probability the likelihood of event "he/she liked the design" occuring given that he/she is 30 years old.