pROABILITY

Question

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards picture cards

Answer 1

there are 12 picture cards, 4 jacks, 4 queens, and 4 kings

(12)/(52)(11/51)(10)/50=

simplify

(3/13)(11/51)(1/5)=

33/3315=

simplify again

11/1105

another way...

how many ways can you pick 3 cards ?

52!/3!49!=22,100

how many ways can you pick 3 face cards ?

12!/3!9!=220

220/22,100=

22/2210=

11/1105 again