Question 198424: Sue has three pairs of pants: one blue, one yellow, and one red;and four blouses:one yellow, one white, one tan, and one green.
a.Draw a tree diagram and list the sample space showing all possible outfits that consist of one pair of pants and one blouse.
b.If Sue chooses an outfit consisting of one pair of pants and one blouse, find the probabilaity that
(1)only one article of clothing is yellow
(2)atleast one article of clothing is yellow
(3)both articles of clothing are yellow
(4)at least of one article of clothing is black
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sue has three pairs of pants: one blue, one yellow, and one red;and four blouses:one yellow, one white, one tan, and one green.
a.Draw a tree diagram and list the sample space showing all possible outfits that consist of one pair of pants and one blouse.
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There are 3*4 = 12 pairs
b followed by y,w,t,g
y followed by y,w,t,g
r followed by y,w,t,g
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b.If Sue chooses an outfit consisting of one pair of pants and one blouse, find the probabilaity that
(1)only one article of clothing is yellow: 5/12
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(2) at least one article of clothiing is yellow: 6/12
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(3)both articles of clothing are yellow: 1/12
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(4)at least of one article of clothing is black: 0/12 = 0
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Cheers,
Stan H.
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