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The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of queen

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\frac{3}{4}

\frac{3}{48}

\frac{3}{49}

\frac{3}{39}

answer is A.

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Detailed Solution

Given that the king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled.
For an event E, probability is given by,

P E = Number of favourable outcomes n(E) Total number of outcomes n(S)

The King, queen, and jack of clubs are removed from a deck of

52

playing cards. So, the remaining cards in a deck are,
n(S) =

52 - 3

\Rightarrow n (S) = 49

The number of events getting cards of queen after removing a queen of the club is,
n(E) =

4 - 1

\Rightarrow n (E) = 3

So, the probability of getting cards of queen is,

P E = 349

Thus, the probability of getting cards of the queen is

349

.
Therefore, option 3 is correct.

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