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Q.

From a well-shuffled pack of 52 cards one card is drawn at random. Find the probability that it is a King or a Queen.


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a

1113

b

213

c

113

d

413  

answer is B.

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Detailed Solution

Given that a card is drawn from a well shuffled pack of 52 cards.
The P(E)  of the random experiment as,
P(A)=Number of favorable outcomesTotal number of outcomes
The total number of outcomes is a deck of 52 playing cards.
Total number of kings in a deck is 4 and the number of queens is 4.
The number of events getting cards of either a king or a queen is,
n(X) = 8
So, the probability of getting cards of neither a king nor a queen is,
⇒P(E)=n(X)n(S)
⇒P(E)=852
⇒P(E)=213
The probability of getting cards of neither a king nor a queen is 213.
Hence, option 2 is the correct answer.
  
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