Subject
Quantitative Aptitude
Topic
Probability
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?
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?
ক)
52/221খ)
55/190গ)
55/221ঘ)
19/221Explanation
We have n(s) = 52 c 2 52 = 52*51/2*1= 1326. Let A = event of getting both black cards B = event of getting both queens A∩B = event of getting queen of black cards n(A) = = 26 c 2 = 325, n(B)= = 4*3/2*1= 6 and n(A∩B) = 4 c 2 = 1 P(A) = n(A)/n(S) = 325/1326; P(B) = n(B)/n(S) = 6/1326 and P(A∩B) = n(A∩B)/n(S) = 1/1326 P(A∪B) = P(A) + P(B) - P(A∩B) = (325+6-1) / 1326 = 330/1326 = 55/221Related questions
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