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One drawer in a dresser contains 8 blue socks and 6 white socks. a second drawer contains 3 blue socks and 5 white socks. one sock is chosen from each drawer. what is the probability that they match

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angiemarinelare
The probably would be a chance of matching 74%
toporc
Drawer 1: P(blue) = 8/14            P(white) = 6/14
Drawer 2: P(blue) = 3/8              P(white) = 5/8
[tex]P(blue/blue)=\frac{8}{14}\times\frac{3}{8}=\frac{3}{14}[/tex]
[tex]P(white/white)=\frac{6}{14}\times\frac{5}{8}=\frac{15}{56}[/tex]
[tex]P(match)=\frac{3}{14}+\frac{15}{56}=\frac{27}{56}[/tex]
The answer is: 27/56 or as a decimal fraction 0.482 or as a percentage 48.2%.

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