Answer:Probability of the tie going well [tex]=\frac{2}{3}[/tex]
Step-by-step explanation:
Given
There are 27 ties in closet out of which 18 go well with coat
and remaining 9 does not go well with coat
Probability of the tie going well [tex]=\frac{\text{Choosing a go well tie}}{\text{choosing a tie out of 27 }}[/tex]
Probability of the tie going well [tex]=\frac{18}{27}=\frac{2}{3}[/tex]
Probability of the tie not going well [tex]=\frac{\text{Choosing a not go well tie}}{\text{choosing a tie out of 27 }}[/tex]
Probability of the tie not going well [tex]=\frac{9}{27}=\frac{1}{3}[/tex]
Odds in favor of the tie going well is [tex]=18:9=2:1[/tex]
Odds against of the tie going well is [tex]=9:18=1:2[/tex]
