Problem 2:
Variables:
● DC: Your chosen door (Virgo, Andromeda, Condor)
● DO: The door that is opened to reveal a goat
● C: The door that contains the space car
Dependencies:
● Your choice of door (DC) is independent of the other events.
● The door that is opened to reveal a goat (DO) depends on your choice of door (DC).
○ If your chosen door has a goat behind it, then either of the remaining doors with a
goat can be opened.
○ If your chosen door has the space car behind it, then only one of the other doors
with a goat can be opened.
● The door that contains the space car (C) is independent of your choice (DC) and the door
that is opened (DO).
Conditional Probabilities:
● P(DC) = 1/3 for each door since you're equally likely to choose any door.
● P(DO) is dependent on DC.
● P(DO|DC) = 1/2 if DC has a goat, otherwise P(DO|DC) = 1.
● P(C) = 1/3 since the space car is equally likely to be behind any door.
Variables:
● DC: Your chosen door (Virgo, Andromeda, Condor)
● DO: The door that is opened to reveal a goat
● C: The door that contains the space car
Dependencies:
● Your choice of door (DC) is independent of the other events.
● The door that is opened to reveal a goat (DO) depends on your choice of door (DC).
○ If your chosen door has a goat behind it, then either of the remaining doors with a
goat can be opened.
○ If your chosen door has the space car behind it, then only one of the other doors
with a goat can be opened.
● The door that contains the space car (C) is independent of your choice (DC) and the door
that is opened (DO).
Conditional Probabilities:
● P(DC) = 1/3 for each door since you're equally likely to choose any door.
● P(DO) is dependent on DC.
● P(DO|DC) = 1/2 if DC has a goat, otherwise P(DO|DC) = 1.
● P(C) = 1/3 since the space car is equally likely to be behind any door.
