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A standard 52 deck of cards are placed in a container. What is the probability that a card randomly selected from the container is a black card or 4?

Respuesta :

Answer:

[tex]\dfrac{7}{13}[/tex]

Step-by-step explanation:

Total Number of cards in a standard deck, n(S)=52

In a standard deck, there are 4 suits, 2 suits are black and 2 suits are red.

Number of Black Cards n(B)=26

Number of 4 cards, n(F)= 4

Number of Black cards with 4 on it, [tex]n(B\cap F)=2[/tex]

[tex]P(B\cup F)=P(B)+P(F)-P(B\cap F)\\=\dfrac{26}{52} +\dfrac{4}{52} -\dfrac{2}{52} \\=\dfrac{28}{52} \\\\P(B\cup F)=\dfrac{7}{13}[/tex]

Therefore, the probability that a card randomly selected from the container is a black card or 4 is 7/13.