Answer:
D. No, because
and the
are not equal.
Step-by-step explanation:
Given:
Probability of doing yard work is, 
Probability of raining, 
Probability of doing yard work and it raining is, 
Now, two events A and B are independent if,

Conditional probability of event A given that B has occurred is given as:

So, 
Since,
, A and B are not independent events.