You want to have an ice cream or a cake. There are three flavours (chocolate, strawberry and vanilla) in ice creams, and two flavours (orange and red velvet) in the cakes. In how many possible ways?
We are going to have either a Ice-cream or a cake.
Ice-cream can be selected from 3 flavors and cake from two flavors.
Both the events cannot occur simultaneously selecting ice cream and cake
Number of possible ways = 3+2
= 5