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Intersection of Sets

Five marbles ...

Question

Five marbles are drawn from a bag which contains 7 blue marbles and4 black marbles. What is the probability that all will be blue?

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Solution

Total marbles=11
Blue marbles=7
5 marbles are drawn
so its probablity = $\frac{{}^{7}C_{5}}{{}^{11}C_{5}} = \frac{1}{22}$

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