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Q.

Find the probability of getting a black queen when a card is drawn at random from a well-shuffled pack of 52 cards.


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a

1 52  

b

1 26  

c

1 13  

d

1 25   

answer is B.

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Detailed Solution

Given that, a well-shuffled pack of 52 cards and a black queen card is drawn at random.
So, the total number of outcomes i.e., sample space n(s)=52  .
Let the black queen card be a.
Number of black queen cards in a well-shuffled pack of cards is n(a)=2  .
We know that,
Probability = n(a) n(s)  
Therefore, probability of getting a black queen is = n(a) n(s)  ,
= 2 52   = 1 26  .
Therefore, the correct option is (2).
 
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