Correct Answer - A
Let p=probability of getting an ace in a draw=probability of success
and q=probability of not getting an ace in a draw= probability of failure
Then, p=
4
52
=
1
13
and q=1-p=1-
1
13
=
12
13
ltbrlt Here, number of trials, n=2
Clearly, X follows binomial distribution with parameter
n=2 and p=
1
13
. Now, P(X=x)=
2
Cx(
1
13
)x(
12
13
)2-x,x=0,1,2
∴P(x=1)+P(X=2)
=
2
C1(
1
13
)1(
12
13
)+
2
C2(
1
13
)2(
12
13
)0
=2(
12
169
)+
1
169
=
24
169
+
1
169
=
25
169