A bag contains 5 white marbles and 5 red marbles. If each of 5 girls and 5 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?	Pick one:
A) 1/6 B) 1/35 C) 1/3 D) 1/462 E) 1/126
first, total ways to select for all boys and girls, i.e 10!/(5!*5!) = 252   then there are one two way girls can have all same colors, either white or red.   The number of ways in which 5 girls can select 5 white balls = 5C5 = 1   The number of ways in which 5 girls can select 5 red balls = 5C5 = 1   Therefore, total favorable outcomes/total outcomes = 2/252= 1/126   1/126
<result>E</result>
A bag contains 5 white marbles and 5 red marbles. If each of 5 girls and 5 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?