b)
Now what is the overall probability of passing the entire test?

c)
And what is the probability of passing section T3, given that you have already passed
sections T1 and T2?

d)
The kicker: How do you explain the difference between 4c and 5c? Can you relate this to a
larger context about conditional probability and making decisions?
Problem Hint:
Compute the new probability for T1
Derived the total probability using the new value of T1
Use Bayes theorem with the updated values to compute new conditional probability of
passing T3 given you have passed T1 and T2
Consider conditional probability and how T1, T2 and T3 are considered a systems