What is the probability of being dealt exactly three of a kind (like three kings or three 7's, etc.) in a five card hand from a deck of 52 cards?

P=0.00564

Step-by-step explanation:

From Exercise we have 52 cards.

We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get

{52}_C_{5}=/frac{52!}{5! (52-5) !}=2598960

We now count the number of favorable combinations:

{13}_C_{1} · {48}_C_{2} = 13 · / frac{48!}{2! (48-2) !}=14664

Therefore, the probabilitiy is

14664/2598960=0.00564

P=0.00564