Hi Tejasvi
(a) A gets a number larger than B
except for the case where B gets n, A can always get greater number than B
Let the number that B selects be r.
then the number of cards from which a can choose is (n-r),
therefore the probability is=(n-r)/n =1-(r/n).
(b)A gets a number one greater than B
excepting the case where B gets n A can always try and get a number one greater than B's
therefore the number of favourable case is (n-1)
and therefor P(B)=(n-1)/n
(c)A gets an even number
If n is an odd number then
number of favourable cases is (n-1)/2
therfore P(C1)=(n-1)/2n
If n is an even number then
number of favourable cases is n/2
therfore P(C2)=n/2n=1/2 always
Hope this solution is correct and clear enough
george