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Suppose that a bag contains 3 red, 9 white, and 5 blue b***s. If three b***s are taken out of the bag at once, what is the probability (rounded to 4 decimal places) that exactly two of them are blue?

 Feb 8, 2015

Best Answer 

 #1
avatar+130511 
+5

The number of total sets possible is C(17,3)  = 680

But, we're only interested in those that contain 2 blue b***s selected from 5 and one ball selected from the other 12  =  C(5,2)C(12,1)  = 120 sets

So the probability is    120 / 680   =  12/68  = 3 / 17 = about .1765  or 17.65%

 

 Feb 8, 2015
 #1
avatar+130511 
+5
Best Answer

The number of total sets possible is C(17,3)  = 680

But, we're only interested in those that contain 2 blue b***s selected from 5 and one ball selected from the other 12  =  C(5,2)C(12,1)  = 120 sets

So the probability is    120 / 680   =  12/68  = 3 / 17 = about .1765  or 17.65%

 

CPhill Feb 8, 2015

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