The number of red balls in an thatcontains n balls is a
random variable that is equally likely to beany of the values
0,1,2, ..., n. The n balls are then randomlyremoved one at a time.
Lek Yk denote the number of red ballsin the first k selections,
k=1, 2, ...n.
a. Find P(Yn = j), j = 0, 1, 2,...., n
b. Find P(Yn-1 =j)
c. what do you think is the value ofP(Yk
=j)
d. verify your answer to part c by abackward induction
argument.