Question

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

Answer 1

`|\Omega|=52\cdot51\cdot50=132600`

a)

`|A|=4\cdot3\cdot2=24\\P(A)=(24)/(132600)=(1)/(5525)`

b)

`|A|=13\cdot12\cdot11=1716\\P(A)=(1716)/(132600)=(11)/(850)`