Question

a reporter for an international newspaper is given an assignment that is randomly chosen from the following destinations worldwide: 10 continental united states assignments, 18 south american assignments, 20 european union assignments, and 14 asian assignments. find the probability that he gets an assignment in the united states or asia. express your answer as a fraction

Answer 1

Given:

10 continental united states assignments

18 south american assignments

20 european union assignments

14 asian assignments

All possible outcome =10+18+20+14 =62

Required outcome is 10 or 14

$\text{Probability}=\frac{required\text{ outcome}}{\text{all possible outcome}}$$P(\text{getting assignment in united state or asia)=}\frac{10}{62}+\frac{14}{62}$$\begin{gathered} =\frac{24}{62} \\ \\ =\frac{12}{31} \end{gathered}$