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?	Choose the most appropriate option:
A) 55/228
B) 55/228
C) 55/221
D) 55/212
E) 55/2234
We have n(s) = \inline {\color{Black}52C_{2}} = = 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) = \inline {\color{Black}2655/221_{2}} = = 325, n(B)= \inline {\color{Black}455/221_{2}} = = 6 and n(A∩B) = \inline {\color{Black}255/221_{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 = 55/221   Answer: 55/221
<result>C</result>
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?