If a card is chosen at random from a pack of 52 playing cards, what is the probability of a Queen or a Club?

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Answer 1 · 2016-11-14T11:36:07

#P(Q " or Club") = 16/52#

#=4/13#

Probability = #"number of wanted outcomes"/"total number of possible outcomes"#

There is quite a range of cards which will meet the requirements:

There are 4 Queens and 13 clubs. #4+13 = 17#

However, this means that the Queen of Clubs has been counted twice. There are:

#4+13 -1 = 16# desirable outcomes and #52# possible outcomes.

#P(Q " or Club") = P(Q) +P(C)-P("Queen of clubs")#

=#(4+13-1)/52#

#P(Q " or Club") = 16/52#

#=4/13#