I need help with solving the below question on Probability.

Question:

I am offered to work from home on Mondays, Wednesdays, Fridays and work from office on Tuesdays and Thursdays.

1. What is the probability of me working from home vs working from the office?
2. My manager works from Office on Mondays, Tuesdays and Wednesdays. What is the probability of meeting my manager in person at the office?
3. Can the tutor answering this question also help with adding a scenario for P(AB). A scenario example and solution for P(AB) using this same office problem would be appreciated.

Please explain with steps for Question #2,#3 and confirm if the solution for #1 is correct.

Solution:

1. S = {Monday, Tuesday, Wednesday, Thursday, Friday}

Working from Home A = {Monday, Wednesday, Friday}

Working from Office B = {Tuesday, Thursday}

P(A) = P(Monday)+P(Wednesday)+P(Friday)

= 3/5 = 0.6

P(B) = P(Tuesday)+P(Thursday)

= 2/5 = 0.4

2. ??

3. ??