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
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