There are only 2 doors. The host rolls a 6-sided die.  If the
die lands showing 1, then the host puts a car behind door 1 and
a goat behind door 2, else the host [puts a car behind door 2
and a goat behind door 1 and moves the die so it's showing 1].

Q0:  After the host does as above, what is the
probability that the car is behind door 1?



There are only 2 doors. The host rolls a 6-sided die.
If the die lands showing 1, then the host puts a car
behind door 1 and a goat behind door 2, else the host
puts a car behind door 2 and a goat behind door 1.

Q1:  After the host does as above, what is the
probability that the car is behind door 1?



There are only 2 doors. The host rolls a 6-sided die.
If the die lands showing 1, then the host puts a car
behind door 1 and a goat behind door 2, else the host
puts a car behind door 2 and a goat behind door 1.

Q2:  After the host does as above, what is the probability
that [the car is behind door 1 and the die is showing 1]?



There are only 2 doors. The host rolls a 6-sided die.
If the die lands showing 1, then the host puts a car
behind door 1 and a goat behind door 2, else the host
puts a car behind door 2 and a goat behind door 1.

Q3:  After the host does as above, what is the probability
that [the die is showing 1 and the car is behind door 1]?



There are only 2 doors. The host rolls a 6-sided die.
If the die lands showing 1, then the host puts a car
behind door 1 and a goat behind door 2, else the host
puts a car behind door 2 and a goat behind door 1.

Q4:  After the host does as above, what is
the probability that the die is showing 1?



There are only 2 doors. The host rolls a 6-sided die.

Q5:  After the host does as above, what is
the probability that the die is showing 1?



The host rolls a 6-sided die.

Q6:  After the host does as above, what is
the probability that the die is showing 1?