Suppose that 3 cards from a standard deck of 52 playing cards are successively drawn at random without replacement (a) Find the probability that all 3 are queens (b) Find the probability that all 3 are spades (a) The probability that all 3 are queens is (Type an integer a simplified fraction) or (b) The probability that all 3 are spades is (Type integer simplified fraction) an or a

Respuesta :

[tex]|\Omega|=52\cdot51\cdot50=132600[/tex]

a)

[tex]|A|=4\cdot3\cdot2=24\\P(A)=\dfrac{24}{132600}=\dfrac{1}{5525}[/tex]

b)

[tex]|A|=13\cdot12\cdot11=1716\\P(A)=\dfrac{1716}{132600}=\dfrac{11}{850}[/tex]