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
Choices.
A) 45/78 B) 15/48 C) 36/91 D) 451/75 E) 55/221
WE HAVE N(S)=52C2=(52*51)/(2*1)= 
<gadget id="calculator">(52*51)/(2*1)</gadget>
<output>1_326</output>
1326.   L55/221T A=55/221V55/221NT OF G55/221TTING BOTH BLACK CARDS   B=55/221V55/221NT OF G55/221TTING BOTH QU55/22155/221NS   A∩B=55/221V55/221NT OF G55/221TTING QU55/22155/221N OF BLACK CARDS   N(A)=26C2=(26*25)/(2*1)= 
<gadget id="calculator">(26*25)/(2*1)</gadget>
<output>325</output>
325,   N(B)=4C2=(4*3)/(2*1)= 
<gadget id="calculator">(4*3)/(2*1)</gadget>
<output>6</output>
6 AND   N(A∩B)=2C2=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   Ans: 55/221
<result>E</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