Suppose you deal three cards from a regular deck of 52 cards, What is the probability that they will all be jacks?

Respuesta :

Answer:

[tex]0.00018[/tex]

Step-by-step explanation:

The number of ways you can draw 3 cards from the deck of 52 cards is,

[tex]\dbinom{52}{3}=\dfrac{52!}{3!\ 49!}=\dfrac{52\times 51\times 50}{6}=22100[/tex]

Out of 52, 4 cards are jacks. So the number of ways you can draw 3 jacks out of 4 is,

[tex]\dbinom{4}{3}=\dfrac{4!}{3!\ 1!}=\dfrac{24}{6}=4[/tex]

So, the probability three cards from a regular deck of 52 cards will be,

[tex]\dfrac{4}{22100}=0.00018[/tex]