SOLUTION: Five cards are chosen from a standard deck of 52. What is the probability of getting 3 Kings and 2 diamonds?

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Question 662487: Five cards are chosen from a standard deck of 52. What is the probability of getting 3 Kings and 2 diamonds?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Re TY, yes, a bit of 'problem' here :)
might consider the following..idea being... if one of the Kings is a diamond...
then a different-suited, non-king card needs to be introduced for the remaining card
Five cards are chosen from a standard deck of 52.
P(3K & '2D')= P(No K(D) & 2Ds) + P(One K is a D) =
%28%283C3%2A12C2%29+%2B+%283C2%2A1C1%2A12C1%2A36C1%29%29%2F%2852C5%29=
%2866+%2B+1296%29%2F2598960+=+1362%2F2598960+=+.000524