card deck: prob of drawing 3 spades, 2 spades

[xc630]

Hi I would appreciate any help with this problem

If one card is drawn from each of three well shuffled standard decks find the probabiltity of drawing

a) 3 spades
b) 2 spades

Would I do something like this 52 C 3 (1/4) 3/4), I'm not sure what powe rto rasie 1/4 and 3/4 though. Thanks for any help

 

[pka]

If one card is drawn from each of three well shuffled standard decks find the probabiltity of drawing
a) 3 spades
b) 2 spades

Drawing from three different decks is no different form drawing with replacement.

a) Three spades has probability (1/4)<SUP>3</SUP>.

b) Two spades in three draws has probability \(\displaystyle {3 \choose 2} \left( {.25} \right)^2 \left( {.75} \right)\)
(I assume that the question means exactly two spades.)