In a race where 12 cars are running, the chance that car X will win is 1/6, that Y will win is 1/10 and that Z will win is 1/8. Assuming that a dead heat is impossible, find the chance that one of them will win. Choose one
A) 1/140
B) 1/180
C) 27/410
D) 47/120
E) 57/120
Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).   = 1/6 + 1/10 + 1/8   = 47/120   ANSWER:47/120
<result>D</result>
In a race where 12 cars are running, the chance that car X will win is 1/6, that Y will win is 1/10 and that Z will win is 1/8. Assuming that a dead heat is impossible, find the chance that one of them will win.