The probability that Jack passes calculus II given that he passes Calculus I is 0.8. The probability that Jack passes Calculus Ii given that he fails Calculus
I is 0.3.
Likewise, the probability that Jack passes Calculus III given that he passes Calculus II is 0.8. The probability that Jack passes Calcullus III given that he
fails Calculus II is 0.3.
Suppose that Jack passes Calculus I.
(a) Find the probability that Jack passes Calculus III
(b) Find the probability that Jack passes Calculus II and Calculus III.
Sample Solution