<h2>
Answer:</h2>
- The two events are independent.
<h2>
Step-by-step explanation:</h2>
By the conditional property we have:
If A and B are two events then A and B are independent if:
or
( since,
if two events A and B are independent then,
Now we know that:
Hence,
)
Based on the diagram that is given to us we observe that:
Region A covers two parts of the total area.
Hence, Area of Region A= 72/2=36
Hence, we have:
Also,
Region B covers two parts of the total area.
Hence, Area of Region B= 72/2=36
Hence, we have:
and A∩B covers one part of the total area.
i.e.
Area of A∩B=74/4=18
Hence, we have:
Hence, we have:
Hence, we have:
Similarly we will have: