# Easy Probability Solved QuestionAptitude Discussion

 Q. 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.
 ✔ A. 47/120 ✖ B. 1/480 ✖ C. 1/160 ✖ D. 1/240

Solution:
Option(A) is correct

Required probability $=P(X)+P(Y)+P(Z)$ (all the events are mutually exclusive

$=\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{8}$

$=\dfrac{47}{120}$