# SOLUTION: A realty company has 100 homes listed for sale.Some of these homes have fire places, some have garages, and some have neither. Garage and Fireplace 50 Garage with no fireplace 30

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A realty company has 100 homes listed for sale.Some of these homes have fire places, some have garages, and some have neither. Garage and Fireplace 50 Garage with no fireplace 30      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 430492: A realty company has 100 homes listed for sale.Some of these homes have fire places, some have garages, and some have neither. Garage and Fireplace 50 Garage with no fireplace 30 No Garage and fireplace 10 No garage and no fireplace 10 What is the probability that the home selected does not have a fire place? What is the probabiltiy that the home selected has a fireplace or a garage? What is the probabiltiy that the home selected had niether a fireplace nor a garage? What is the probabiltiy that the home selected has a garage but not a fireplace? What is the probabiltiy that the home selected has a garage, given that it has a fireplace? Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi A realty company has 100 homes listed for sale G-only F-only both neither Total status 30 10 50 10 100 P( that the home selected does not have a fire place)= 1 - 60/100 = 40/100 P(that the home selected has a fireplace or a garage) P(A or B) = P(A) + P(B) - P(A and B) = 90/100 - 50/100 = 40/100 P(that the home selected had neither a fireplace nor a garage)= 10/100 P(that the home selected has a garage but not a fireplace)= 30/100 P(the home selected has a garage, given that it has a fireplace) P(A|B) = P(A and B)/P(B)= 50/100/60/100 = 50/60 may reduce fractions as necessary for classroom format. ```