A card shop contains 5 birthday cards, 5 holiday cards, and 5 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type? Choose the correct choice from the following options:
A) 6/91
B) 5/93
C) 4/95
D) 3/97
E) 2/99
It might require to be written as "5 different birthday cards, 5 different holiday cards, and 5 different graduation cards" rather than "5 birthday cards, 5 holiday cards, and 5 graduation cards"..   If the cards are same there will be ONLY 1 way to pick from each type and thus overall 3..   so numerator has to be 3, or 1 if 3 cancels out..   If I take all as different cards--   ways to pick 3 cards of same type = 5C3 * 3= 30   ways to pick 3 cards out of 15 = 15C3 = 455   Prob = 30/455 = 6/91   6/91ns: 6/91
<result>A</result>
A card shop contains 5 birthday cards, 5 holiday cards, and 5 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?