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A card is chosen from a standard deck of cards. The drawer is looking for clubs and face cards.






Club not a club


Face card 3 9


Not a face card 10 13



Find P(Club | Not a Face Card).


Question 13 options:


52/13


3/13


1/4


10/13

Respuesta :

Answer:

[tex](C)\dfrac{1}{4}[/tex]

Step-by-step explanation:

In a standard deck,

  • Total Number of cards=52
  • Number of face cards=12
  • Number of Clubs =13

The table below gives the distribution of the cards.

[tex]\left|\begin{array}{c|c|c|c}&$Club&$Not a club\\----&----&---&----\\$Face card&3&9&12\\$Not a face card&10&30&40\\----&----&---&----\\$Total&13&39&52\end{array}\right|[/tex]

[tex]P($Club$ | $Not a Face Card)$=\dfrac{10}{40}\\ =\dfrac{1}{4}[/tex]

The correct option is C.

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