Question: Suppose you draw a card randomly from a regular deck of cards. Let Abe the event that the card is red, and Bthe event that the card is a 9.
a) Find Pr(A), Pr(B), Pr(Aand B) and Pr(B|A).
b) Are A and B independent events? Why or why not?
Now suppose you draw a second card (without first replacing the first card in the deck). Let Cbe the event that the second card is a 9.
c) Find Pr(C), Pr(Aand C) and Pr(Band C).
d) Are Aand Cindependent events? Why or why not?
e) Are Band Cindependent events? Why of why not?