Question

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

Answer 1

`(C)(1)/(4)`

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.

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

`P($Club$ | $Not a Face Card)$=(10)/(40)\\ =(1)/(4)`

The correct option is C.