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In a standard deck of cards, what is the probability of selecting  (assume no replacement) 

 

a) a spade or club

b) a diamond or queen

c) a spade and then a club

d) a pair of 2's

 
Whiz333  Jun 15, 2017
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a) a spade or club =

 

P(spade or club)  = P(spade) +  P(club) - P(spade and club)  =

                                   1/4        +    1/4    -       0    =

                                                 2/4  =  1/2

 

 

b) a diamond or queen

 

P(diamond or queen)  = P(diamond) +  P(queen) - P(diamond and queen)  =

                                          13/52       +     4/52    -            1/52   =

                                                      16/52  =   4/13 

 

 

c) a spade and then a club  =   (1/4)(13/51)  =  13/204

 

 

d) a pair of 2's  =  ( 1/13 ) (3/51) =  3/663  =  1/221

 

 

 

cool cool cool 

 
CPhill  Jun 15, 2017

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