(A) 19/221
(B) 55/221
(C) 55/190
(D) 52/221
Correct Option is: B
We have n(s) = 52C2 = 1326.
Let A = event of getting both red cards
B = event of getting both king
A∩B = event of getting king of red cards
n(A) = 26C2 = 325, n(B)= 4C2= 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