Question

Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In his closet, he has 21 ties, 11 of which he feels go well with the sportcoat. If Casey selects one tie at random, determine the probablity and the odds of the tie going well or not going well with the sportcoat

Answer 1

Total no of ties = 21

Number of ties that he feels goes well with jacket = 11

NUmber of ties that he feels does not go well with jacket = 21-11=10

a) Probability that tie goes well with jacket =

`\begin{gathered} \frac{Number\text{ of ties that goes well with jacket }}{Total\text{ number of ties}} \\ =(11)/(21) \end{gathered}`

b)Probability that a tie does not go well with jacket

`\begin{gathered} =\frac{Number\text{ of ties that does not go well with jacket }}{Total\text{ ties }} \\ =(10)/(21) \end{gathered}`