A Jar of marble contains 6 yellow and 4 blue marbles, and no other marbles. If four are pulled out of the jar, one after the other, without being replaced, what is the probability that exactly two of the four marbles will be yellow and two blue.
A
B
C
D 9	Choose the correct choice from the following:
A) 1/10
B) 1/7
C) 1/6
D) 3/7
E) 9/11
4 marbles out of the given 10 are pulled out of the jar, one after the other, without being replaced   The number of possible combinations (total events) = 10C4   We need to find the probability that exactly two of the four marbles will be yellow(out of 6) and two blue( out of 4).   Here the order in which the marbles are removed isn't asked. So no permutation reqd.   The number of possible combinations to such a specific event = 6C2 X 4C2   The Probability of the specific event = [ 6C2 X 4C2 ] / 10C4   = 15 X 6 / 210   = 3/7   Correct Option : 3/7
<result>D</result>
A Jar of marble contains 6 yellow and 4 blue marbles, and no other marbles. If four are pulled out of the jar, one after the other, without being replaced, what is the probability that exactly two of the four marbles will be yellow and two blue.
A
B
C
D 9