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Question

One card is drawn at random from pack of 52 cards. What is the probability that the card drawn is a face card?


A

113

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B

413

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C

14

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D

952

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Solution

The correct option is B

413


Finding the probability of the card drawn is a face card:

Let E be the event of card drawn is a face card.

Sample space of the event S=52

Number of face card in the deck of cards =44facecardsofeachtype=16

So, n(E)=16;n(S)=52

Probability of the card drawn is a face card is =n(E)n(S)

P(E)=n(E)n(S)P(E)=1652P(E)=413

Hence, option (b) is correct.


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