S.O.S. Mathematics CyberBoard

Hi guys,

can you check my work.

i would like to solve for the pair Combinations/Probability given that 8 decks are currently used.

here's my solution.

combination(13,1)*combination(32,2)*combination(416,2)

so there's 13 types of cards in a deck (A,2,3,.....,Q,K)
then each card is consist of 32 cards in 8 deck
then total number of cards is 416.

is my solution right or should i use the law of total probability. in order to get the probability of having a pair.

THANK YOU SO MUCH