
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
                   = 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
                   = 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
                     [tex]$=\frac{0.55}{0.75}$[/tex]
                     [tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
 [tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
 [tex]$=\frac{0.15}{0.25}$[/tex]
 [tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
  [tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
  [tex]$=\frac{0.55}{0.7}$[/tex]
 [tex]$=\frac{11}{14}$[/tex]
6. Â [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
   [tex]$=\frac{0.2}{0.3}$[/tex]
   [tex]$=\frac{2}{3}$[/tex]               Â