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 45 ​ties, 34 of which he feels go well with the sportcoat. If Casey selects one tie at​ random, determine the probability and the odds of the tie going well or not going well with the sportcoat.

Answer 1

Total no of ties = 45

Number of ties that he feels goes well with jacket = 34

Number of ties that he feels does not go well with jacket = 45 - 34 = 11

a) Probability that tie goes well with jacket =

`\frac{\text{Number of ties that goes well with jacket}}{\text{Total number of ties}}`

`=(34)/(45)`

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

`\frac{\text{Number of ties that doe not goes well with jacket}}{\text{Total ties}}`

`=(11)/(45)`