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?

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(52847) (Show Source): You can put this solution on YOUR website!
.


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

Solved.

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