Question 3. Continuing from Question 2, let (Omega _(2),F_(2),P_(2)) be the probability space for two
plays of the roulette game. Then Omega _(2)={(R,R),(R,B),(B,R),(B,B)}.
(a) Write down the event that the first play is a red, and write down the event that the
second play is a red.
(b) Express the event that both plays are red in terms of an intersection of the answers in
(a).
(c) If the two events in (a) are independent, what is the probability that both plays are
red?
(d) In addition, if the two events st play is blue
Question 3. Continuing from Question 2, let (A2,F2, P2) be the probability space for two plays of the roulette game. Then S2 = {(R,R),(R,B),(B,R),(B,B)}.
(a) Write down the event that the first play is a red, and write down the event that the second play is a red.
(b) Express the event that both plays are red in terms of an intersection of the answers in (a).
(c) If the two events in (a) are independent, what is the probability that both plays are red?
(d) In addition, if the two events {1st play is blue} and {2nd play is blue} are independent. write down an expression of the probability function P2 : F2 [0, 1].
