SOLUTION: Problem: A jar contains seven black buttons and seven brown buttons. If nine buttons are picked at random, what is the probability that at most five of them are black? My Attemp

Question 1070126: Problem: A jar contains seven black buttons and seven brown buttons. If nine buttons are picked at random, what is the probability that at most five of them are black?
My Attempt: I found the total ways to pick 9 out of 14 using the combination formula, 2002. I then using combination listed the possible ways to pick 1,2,3,4 and 5 black buttons.
1:49
2:441
3:1125
4:1125
5:441
Adding these gives me a number greater than 2002...but probability must be less than 1... Where might have I went wrong? I know the correct answer is 124/143 due to the answer key. Thanks in Advance!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Duplicate Question
See Answers 685252 and 685251.
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