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A deck of cards has 52 cards. There are 4 suits, diamonds, hearts, clubs and spades. Each suit has 13 cards. What is the probability that I will randomly pick a King?
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Jun 8, 2022
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A deck of cards has 52 cards. There
are 4 suits, diamonds, hearts, clubs
and spades. Each suit has 13 cards.
What is the probability that I will
randomly pick a King?
Mathematics
college
ERNESTO ARROYO RON
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ERNESTO ARROYO RON
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There are 52 cards in total. 13 of them are spades and 4 of them are two’s. At first hand you might think that there are 13+4=17 cards that can be marked as “spade or two" but counting like that card “spade 2” is counted twice. Repairing this we find that there are exactly 13+4-1=16 cards that can be marked as “spade or two". We call this an application of the principle of inclusion/exclusion.
Then applying the rule that probability equals number of favourable outcomes divided by number of possible outcomes we find that the probability on drawing such card equals:
16/52=4/13.
Linton
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Jun 12, 2022
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Linton
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