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Q.

A card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a face card?

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a

3 13  

b

1 13  

c

2 13  

d

3 26   

answer is A.

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Detailed Solution

Given that a card is drawn at random from a deck of 52 playing cards.
We need to find the probability that the card drawn is a face card.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
A deck of cards contains 52 cards in it, that are 13 spade cards, 13 heart cards, 13 diamond cards and 13 club cards.
Therefore, the total number of possible outcomes is 52.
There are a total of 12 face cards in the whole deck of cards.
Therefore, the total number of favorable outcomes is 12.
Let E   be the event that the card drawn is a face card.
Now, the probability of getting a face card is:
P(E)= 12 52  
⇒P(E)= 3 13  
Thus, the probability of getting a face card is 3 13  .
Therefore, option 1 is correct.
 
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