Chapter 1.4, Problem 7E

Each of three football players will attempt to kick a field goal from the 25-yard line. Let $A_i$ denote the event that the field goal is made by player i, $i=1,2,3$.

Assume that $A_1,A_2,A_3$ are mutually independent and that $P\left(A_1\right)=0.5,P\left(A_2\right)=0.7$, and $P\left(A_3\right)=0.6$.

(a) Compute the probability that exactly one player is successful.

(b) Compute the probability that exactly two players make a field goal (i.e., one misses).