Question 431630: Drawing Colored Marbles from Boxes. A bag contains fifty blue and fifty green marbles. Two marbles at a time are randomly selected. If both are green, they are placed in box A; if both are blue, in box B; if one is green and the other is blue, in box C. After all marbles are drawn, what is the probability that the numbers of marbles in box A and box B are the same?
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! the probability is one ___ the numbers must be the same
the blue and green marbles are evenly matched, fifty and fifty
each time a single colored pair is drawn, there is now an "extra" unpaired marble of the other color
___ this extra marble must eventually be drawn along with one of the same color
the number of marbles in the A and B boxes can be anywhere from zero to fifty, but it is the SAME for both boxes
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