Question 279849
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There are 4 ways out of 8 to select other than a Republican for the first position on the committee.  Once the first position has been filled and it is known that it is not a Republican, then there remain 3 ways out of 7 to select other than a Republican, hence the Probability of no Republicans is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{1}{2}\right)\left(\frac{3}{7}\right)\ =\ \left(\frac{3}{14}\right)]


The other part of this problem is left as an exercise for the student. 


<b><i>Super Double Plus Extra Credit</i></b>:  What is the probability of exactly 1 Republican? Remember, sometimes it is easier to find the probability of anything else happening and then subtract from 1.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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