A bag contains 5 white marbles and 5 black 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?	Choose the correct choice from the following:	A) 1/126	B) 1/120	C) 1/24	D) 4/25	E) 1/2
Consider a case when all girls select black marbles...So Girl 1 will chose 1 black marble out of 10..and black marble will be chosen from 5 Black marbles   Girl 1 will have a probability of picking black marble 5/10   Girl 2 will have to pick a black marble out of 4 and total remaining no. of marbles 9=4/9   So we have Probability of all girls selecting black marbles as 5/10*4/9*3/8*2/7*1/6 =1/252   Since Girls can also select white marbles so we will have 2 cases so Probability of girls selecting all same colour marbles is 2*1/252 or 1/126   1/126ns is 1/126
<result>A</result>
A bag contains 5 white marbles and 5 black 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?