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There are 4 jacks and 13 clubs in a standard 52 card deck of playing cards what is the probability that a card picked at random from a standard deck of playing cards is a club or a jack

User Vkammerer
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the answer is 4/13 , hope this helped :)
User Lucie Kulza
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1 vote

Answer:


P(A\cup B)=(4)/(13)

Explanation:

Given:

Total number of cards = 52

Number of jacks = 4

Number of club cards = 13

Number of jacks and club cards = 1

Let event A represents the jack and event B represents the club card.


P(A)=(4)/(52)


P(B)=(13)/(52)


P(A\cap B)=(1)/(52)

The formula for probability of union is


P(A\cup B)=P(A)+P(B)-P(A\cap B)


P(A\cup B)=(4)/(52)+(13)/(52)-(1)/(52)


P(A\cup B)=(4+13-1)/(52)


P(A\cup B)=(16)/(52)


P(A\cup B)=(4)/(13)

Therefore, the probability of a jack or club card is
(4)/(13).

User Bianchi
by
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