SOLUTION: #38 Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer
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Question 1118922: #38 Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer to three decimal places.)
All of the balls are blue. Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! There are 8C4 ways to choose 4 balls out of 8 balls:
8C4 = 8!/[(8-4)*4!]= (8*7*6*5)/(1*2*3*4)= (2*7*5) = 70
And there are 5C4 = 5!/[(5-4)*4!] = 5 ways to choose 4 blue balls out of the five available.
So the probability they are all blue is 5/70 = .071 or 7.1%
