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 October 12th, 2013, 12:18 AM #1 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 In building new home a contractor finds that the probability In building new home a contractor finds that the probability of home buyer selecting a two-car garage is 0.70 and of selecting a one-car garage is 0.20 . Find the probability that the buyer will select no garage [color=#004000] Please how we can now from this question if A and B are independent and how we can know if here is mutuality exclusive or not [/color]
October 12th, 2013, 04:13 AM   #2
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Re: In building new home a contractor finds that the probabi

Quote:
 Find the probability that the buyer will select no garage
Very simple. p(no garage) = 1- p(one garage) - p(two garage) = 0.1. This is only true if we suppose (unlike your text) that 3 or more garage are not possible. If we don't know this fact, then there is no solution obviously.

Quote:
 if A and B are independent
I reckon you meant by A and B that A = one garage and B = two garages. In that case your assumption doesn't make sense. Two (non-elementary) cases are independent if P(A and B) = P(A)*P(B). But two elementary cases never can be independent, because they are mutually exclusive, that is P(A and B) = P(impossible) = 0. If someone has exactly one garage then he can't have exactly two garages.

 October 12th, 2013, 04:39 AM #3 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 Re: In building new home a contractor finds that the probabi thanks sou much

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