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Probability of picking socks out of a drawer

There are eight red socks and six blue socks in a drawer. A sock is taken out, its color noted, and is tossed aside. This procedure is performed three times. Let R be the random variable 'number of red socks taken'. Determine the probability distribution of R.

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Kenneth S. | Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018Expert Help in Algebra/Trig/(Pre)calculu...
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P(0 reds, 3 draws) = 6C0•8C3 / 14C3
 
P(1 red, 3 draws) = 6C1•8C2 / 14C3
 
P(2 red, 3 draws) = 6C2•8C1 / 14C3
 
P(3 red, 3 draws) = 6C3•8C0 / 14C3