In: Advanced Math
1. (15pts)
A standard 52-card deck consists of 13 cards from each of 4 suits
(spades, hearts, diamonds, clubs). What is the probability that a
5-card poker hand drawn from a standard 52-card deck has (please
give necessary explanation as the solution)
(a) (5pts) 2 clubs, 1 hearts and 2 diamonds?
(b) (5pts) 1 ace and 2 face cards (face cards refer to king, queen,
or jack)?
(c) (5pts) at least one ace?
You may leave your expressions without evaluating the numerical
value.