SOLUTION: A bag contains 30 white marbles and 30 black marbles. If 8 marbles are chosen,
what is the probability that there will be 2 white marbles and 6 black marbles?
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what is the probability that there will be 2 white marbles and 6 black marbles?
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Question 1172463: A bag contains 30 white marbles and 30 black marbles. If 8 marbles are chosen,
what is the probability that there will be 2 white marbles and 6 black marbles? Answer by ikleyn(52805) (Show Source):
We consider unordered subsets.
The number of all possible unordered 8-marble subsets is = = 2558620845.
It is the total space of events in this problem.
The number of all favorable unordered subsets consisting of 2 white and 6 black marbles is . = 453*593775 = 258292125.
The probability under the problem's question is P = = = 0.10095. ANSWER