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Suppose a bowl contains 5 white and 5 black b***s. If 4 b***s are randomly drawn, what is the probability that the two of the b***s are white and the other two are black?

 Dec 9, 2014

Best Answer 

 #2
avatar+130511 
+5

The total number of possible sets is given by C(10, 4)  = 210

And the ones we are interested in contain 2 white ones chosen from any 5 white ones and 2 black ones drawn from any 5 black ones

So we have

[ C(5, 2) * C(5, 2) ] / C(10, 4) =  [ 10 * 10 ] / 210  = 100 / 210  = about 47.6%

 

 Dec 9, 2014
 #1
avatar
0

1/2 because the fractions added together equal 5/10 which simplifies to 1/2

 Dec 9, 2014
 #2
avatar+130511 
+5
Best Answer

The total number of possible sets is given by C(10, 4)  = 210

And the ones we are interested in contain 2 white ones chosen from any 5 white ones and 2 black ones drawn from any 5 black ones

So we have

[ C(5, 2) * C(5, 2) ] / C(10, 4) =  [ 10 * 10 ] / 210  = 100 / 210  = about 47.6%

 

CPhill Dec 9, 2014

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