There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability E that the both positions will be taken by members of just one party?  Options
A) 1/25 B) 12/49 C) 1/4 D) 24/49 E) 1/2
E probability of one party having both spots:   (1/2) * (24/49) = 12/49   (1/2) or (25/50) because it does not matter which party or which person gets the first spot. (24/49) because after one person from a particular party is chosen, there are 24 members of the same party left out of 49 total candidates.   Since this result can happen for both parties, (12/49) + (12/49) = (24/49)   Answer: 24/49
<result>D</result>
There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability E that the both positions will be taken by members of just one party?