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Find the probability of drawing 4 white and two black b***s without replacement from a bag containing 1 red 4 black and 6 white b***s.

 Jan 12, 2015

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 #1
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Find the probability of drawing 4 white and two black b***s without replacement from a bag containing 1 red 4 black and 6 white b***s.

The total number of ways to draw 6 things from 11 is given by C(11, 6) = 462

And we want to draw 4 of the 6 white ones= C(6,4) = 15 ways

And we want to write 2 of the 4 black ones = C(4, 2) = 6 ways

So we have   [ 15 * 6 ] /  462 = 90 / 462 = about 19.5%

 

 Jan 12, 2015
 #1
avatar+130536 
+5
Best Answer

Find the probability of drawing 4 white and two black b***s without replacement from a bag containing 1 red 4 black and 6 white b***s.

The total number of ways to draw 6 things from 11 is given by C(11, 6) = 462

And we want to draw 4 of the 6 white ones= C(6,4) = 15 ways

And we want to write 2 of the 4 black ones = C(4, 2) = 6 ways

So we have   [ 15 * 6 ] /  462 = 90 / 462 = about 19.5%

 

CPhill Jan 12, 2015

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