Hello there,
I hope so far you and your family are staying safe and healthy.
A) No, the events winning and playing are not independent of each other.
Why? Because as you can see, the probability of winning at home doesn't equal the probability of winning away.
B) No, the events losing and playing away are not independent either.
Why? Because of the same reason above. Their probabilities aren't equal.
Please let me know if you have questions about the answer. Best of luck with the rest of the semester!
