In a basketball game, one can attempt a 2 point score or a 3 point score. Suppose that 70% of the time, the team with the ball attempts a 2 point score. 30% of the time, the team attempts a 3 point score. Let there be a 45% chance that a 2 point score attempt succeeds and a 55% chance that it will fail. Suppose that for the 3 point score attempt, it will succeed 35% of the time and fail 65% of the time.

Fill in the values to the following tree diagram. (use 2 to 3 digits).

.AA =    .70               .CC =   .45                .GGGG =

.DD =   .55                .HHHH =

.BB =     .30        .EE =   .35                .IIII   =

.FF =   .65                 .JJJJ  =

a.  What is the probability that there will be a 2 point score?

 P(2 point score) =

b. What is the probability that there will be a 3 point score?

P(3 point score) =

c. What is the probability that there will be no score after an attempt?

P(no score) =

d. Given that there is there is no score after an attempt, what is the probability that the attempt was a failed 3 point score attempt?

 P(3 point score failed attempt | no score) =