Give two examples of reallife situations that require a twos

Give two examples of real-life situations that require a two-stage probability (two events) involving AND. Give one example where the two events are independent and a different example where they are dependent. Discuss the differences.

Solution

a)

INDEPENDENT:

I am rooting for Tiger Woods and Roger Federer. If both wins their respective tournaments, I will watch a movie.

b)

Ana is my crush. If Ana turns out to like me too, I will ask her out. [These are dependent because Ana may not like you at first, but that may change when she learns you like here. The exact opposite can also happen.]