A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 2 blue samples, and a second jar is chosen at random from a different display containing 4 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)  Pick:	A) 1/5	B) 1/2	C) 2/3	D) 4/5	E) 6/5
Painter has two buckets he has to randomly pick from 2 different lists ... Let these Lists be A and B ... He has to choose the first bucket from List A , and the second bucket from List B   FOR THE FIRST BUCKET ...   Red color - 2   Blue color - 2   FOR THE SECOND BUCKET   Red color - 3   Blue color -2   In order to get Purple he has to mix red with blue .. Both the LISTS contain either blue or red , therefore we have two scenarios :   Scenario I - He picks Red color from List A and Blue color from List B   Scenario II - He picks Blue color from List A and Red color from List B   Scenario I - Odds for red color from List A are 1/2 .. and for Blue color from List B are 2 /5 .. Multiplying them (because we have to find the odds that both colors are selected from their respective lists together (this is a AND not an OR problem) we get 1/5   Scenario II - Odds for blue color from List A are 1/2 , and for Red color from List B are 3/5 ... Multiplying them we get 3/10 ...   Both the scenarios are equally possible therefore we must ADD the two (not multiply ) because both of them do not have to hold true together (have to independently) for our desired result to be achieved ...   We get 1/5 + 3/10 = 4/5(4/5)
<result>D</result>
A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 2 blue samples, and a second jar is chosen at random from a different display containing 4 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)