SOLUTION: One individual is randomly selected from 500: Wrinkles Wrinkles Prominent Not Prominent Heavy Smoker 120 60 Light Smoker 75 245 (

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Question 1208185: One individual is randomly selected from 500:
Wrinkles Wrinkles
Prominent Not Prominent
Heavy Smoker 120 60
Light Smoker 75 245
(a) Given that the individual is a heavy smoker, what is the
probability that he/she does not have prominent wrinkles?
(b) What is the probability that the selected individual is a
heavy smoker or has prominent wrinkles?

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
One individual is randomly selected from 500:
         Wrinkles       Wrinkles
         Prominent    Not Prominent
Heavy Smoker 120          60
Light Smoker 75           245
(a) Given that the individual is a heavy smoker, what is the
probability that he/she does not have prominent wrinkles?
(b) What is the probability that the selected individual is a
heavy smoker or has prominent wrinkles?
~~~~~~~~~~~~~~~~~~~~~~~

                     Solution


(a)  Given that the individual is a heavy smoker, we look into the first line 
     in the table, only, and take the values from there.


     Doing this way, for the probability under the question, we get

         P = 60%2F%28120%2B60%29 = 60%2F180 = 1%2F3.    ANSWER




(b)  In (b), the individual is randomly selected from the total of 500.

     Therefore,  P = %28%28120%2B60%29+%2B+75%29%2F500 = 255%2F500 = 0.51.    ANSWER

Solved.