A box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color? Select
A) 19 / 11628  B) 36 / 11628  C) 613 / 11628  D) 6113 / 11628  E) 63 / 11628

Rationale: explanation : total marbles in a box = 6 black + 5 red + 8 green marbles = 19 marbles 5 marbles are drawn from 19 marbles at random . therefore , n ( s ) = 19 c 5 = 11628 ways let a be the event that 2 marbles drawn at random are of the same color . number of cases favorable to the event a is n ( a ) = 6 c 5 + 5 c 5 + 8 c 5 = 6 + 1 + 56 = 63 therefore , by definition of probability of event a , p ( a ) = n ( a ) / n ( s ) = 63 / 11628 answer : e
Answer: E