What is the theoretical probability of being dealt exactly three 4s in a 5-card hand from a standard 52-card deck?

Question

anonymous · Answer

3 fours and evidently 2 not fours

anonymous · Answer

number of ways to get 3 out of the four 4's is 4
number of possibilities for 2 out of the 48 cards that are not four is $\binom{48}{2}$

anonymous · Answer

and the total number of 5 card hands in a 52 card deck is $\binom{52}{5}$ 
your answer is 
$$\frac{4\times \dbinom{48}{2}}{\dbinom{52}{5}}$$

anonymous · Answer

Do i have to solve that to get my answer ?

anonymous · Answer