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

Question

3 years ago

9

deck of 52 cards?

1 answer:

Drupady [299] · Answer 1 · 2022-01-09T07:56:08+03:00

Answer:

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