NDA Math Probability

A and B are independent
P(A)=

1

3

   P(B)=

3

4

We want to find probability that exactly one of the two events A or B occurs i.e. when A occurs B does not and vice-versa.
Lets take desired prob. is P.
=‌‌

1

3

(1−‌‌

3

4

)+‌‌

3

4

(1−‌‌

1

3

)
=‌

1

3

×‌

1

4

+‌

3×2

12

P=

7

12