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Question

A single card is chosen at random from a standard deck of 52 playing cards. What is the probability that the card will be a club or a king?

A
113
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B
313
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C
14
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D
413
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Solution

The correct option is D 413
Let E be the event that chosen card is club and F be the event that chosen card is king
.Number of elements in E is 13.
Number of elements in F is 4.
P(E)=1352 and
P(F)=452
There is only one card in club which is king also,
i.e., n(EF)=1
P(EF)=152P(EF)=P(E)+P(F)P(EF)P(EF)=1352+452152=413
Therefore, probability that the card will be a club or a king
=413

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