SOLUTION: Five balls are drawn from a bag containing six white and four black balls? What is the probability that at least three of the five balls are white?

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Question 856070: Five balls are drawn from a bag containing six white and four black balls? What is the probability that at least three of the five balls are white?
Answer by dkppathak(439) About Me  (Show Source):
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Five balls are drawn from a bag containing six white and four black balls? What is the probability that at least three of the five balls are white?
answer
6 white and 4 black balls
total ball are 10 ball
5 ball are drawn
sample space will be 10c5= 252
favorable chance for at least 3 balls are white
option may be
3 white and 2 black=6c3 x 4c2= 20x6=120
or
4 white and 1 black=6c4 x 4c1 =15 x 4=60
or
5 white 0 black=6c5 x4c0=6 x1= 6
total favorable chance =120+60+6=186
probability for at least three are white=favorable/ sample space
=186/252=62/84=31/42
Probability for at least 3 white balls out of 5 balls =31/42