Solution:
Given: 
(i) Mutually exclusive
When A and B are mutually exclusive which implies that if two events cannot occur at the same moment, they are mutually exclusive or discontinuous.
Then 
As we know that, 
Substituting the value and evaluating:
(ii) Independent
When A and B are independent.Two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.
![\[\Rightarrow P(A \cap B)=1 / 2 p\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-390df5793b3ff4e9dd06ba526c720943_l3.png "Rendered by QuickLaTeX.com")
![\[\text { As we know, } P(A \cup B)=P(A)+P(B)-P(A \cap B)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cc17324ea2565e17bec3d49baa9aa6b2_l3.png "Rendered by QuickLaTeX.com")
![\[\Rightarrow 3 / 5=1 / 2+2-p / 2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5afe44bb09e03f3a02a34c38f87b238c_l3.png "Rendered by QuickLaTeX.com")
![\[\Rightarrow p=2 \times 1 / 10=1 / 5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-72ff31d477edf623de78b41da13fc19b_l3.png "Rendered by QuickLaTeX.com")
