Latest cts Aptitude Question SOLUTION: Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queen? A.4/26 B.55/221 C.56/221 D.55/220

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(#M40034865) CTS Numerical Ability question Keep an EYE

Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queen?
A.4/26 B.55/221 C.56/221 D.55/220

Asked In cts prithwi (10 years ago)

Solved Saraswathy Read Solution (5)

Is this Puzzle helpful?   (47)   (7) Submit Your Solution Probability

Read Solution (5) :

Saraswathy  (10 years ago)

Probability of taking 2 from 52 cards = 52C2 = 52 * 51/2*1 = 1326

There r 26 black cards
There r 4 queens

prob that both r black cards P(A)= 26C2/1326 = 26 * 25/2 * 1 = 325/1326
prob that both r queens P(B)= 4C2/1326 = 4 * 3/2 * 1 = 6/1326
P(A n B) = 2C2/1326 = 1/1326

P(A U B) = P(A) + P(B) - P(A n B) = 325/1326 + 6/1326 - 1/1326
=> 55/221

Ans : 55/221

Is this solution Helpfull? Yes (71) | No (3)  

ramakantkumar  (10 years ago)

55/221;ans
exp;;26*25/52*51+4*3/52*51-2*1/52*51;=55/221

Is this solution Helpfull? Yes (4) | No (1)  

Mani kandan  (10 years ago)

how 52*51/2*1 become?

Is this solution Helpfull? Yes (2) | No (6)  

karthikeyank  (10 years ago)

55/221 is correct ans:

Is this solution Helpfull? Yes (1) | No (1)  

RAJKADE PRASHANTH  (5 years ago)

Probability of taking 2 from 52 cards = 52C2 = 52 * 51/2*1 = 1326

There r 26 black cards 
There r 4 queens

prob that both r black cards P(A)= 26C2/1326 = 26 * 25/2 * 1 = 325/1326
prob that both r queens P(B)= 4C2/1326 = 4 * 3/2 * 1 = 6/1326
P(A n B) = 2C2/1326 = 1/1326

P(A U B) = P(A) + P(B) - P(A n B) = 325/1326 + 6/1326 - 1/1326
=> 55/221

Ans : 55/221

Is this solution Helpfull? Yes | No   

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