Can someone explain the thought process involved in solving

Can someone explain the thought process involved in solving this problem please!

A deck of cards contains four suits, each with 13 cards (so 52 cards total). If I draw 3 cards out of the deck, what is the probability all three come from the same suit? You do not need to simplify your answer. Can someone explain the thought process involved in solving this problem please!

Solution

There are 52C3 ways to choose any 3 cards.

There are 13 cards in any of the 4 suits. Thus, there are 13C3 ways to choose 3 cards of a particular suit. As there are 4 suits, then there are 4*(13C3) ways to do the job.

Thus,

P = [4*(13C3)]/(52C3) = 0.051764706 [ANSWER]