Level 2) Suppose there are three cards, A, B and

C. Two of them will be drawn one by one with

replacement.

(a) What is the probability of getting (A, B), i.e.

the first card is A and the second card is B?

How about the probability of getting (B, B)?

(b) Are the event of getting (A,B) and that of get-

ting (A,C) mutually exclusive? If not, what is

(are) the common case(s)?

(c) Suppose the two cards are drawn without re-

placement. What is your answer to (b)?

(d) Are the event of getting A as the first card

and the getting B as the second one mutually

exclusive? If not, what is (are) the common

case(s)?

If I randomly pick a report card and see that

the student passed physics, what is the chance

that he/she also passed philosophy.