Please help. Very hard probability question with unusual wording

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Homework Statement

Suppose that each day I either catch the bus to work or drive my car to work. Suppose that the
probability I catch the bus on any particular day only depends on the mode of transport I used on the
previous day, and is 0.7 if I caught the bus on the previous day and 0.25 if I drove my car to work.
(a) What is the probability I drive my car to work tomorrow given that I caught the bus today?
(b) What is the probability I catch the bus to work?
(c) What is the probability I caught the bus yesterday given that I caught the bus today?
(d) What is the probability I catch the bus on Wednesday given that I drove by car to work on
Monday?
2

Homework Equations

none

The Attempt at a Solution

How do you do this?

Especially D. i think you use bayed theoram.

Just don't know how to do D !

 

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anyone