The probability of being dealt all five clubs is the product of the above probabilities. Why is this true and what is this probability?

Respuesta :

Assuming the 5 card hand is dealt from a standard randomly shuffled deck of 52 cards, the probability of getting a hand with 5 clubs is

[tex]\dfrac{\dbinom{13}5\dbinom{39}0}{\dbinom{52}5}=\dfrac{\dbinom{13}5}{\dbinom{52}5}=\dfrac{33}{66640}\approx0.000495[/tex]