There is a rack of 12 billiard balls. balls numbered 1 through 8 are? solid-colored. balls numbered 9 through 12 contain stripes. if one ball is selected at? random, determine the odds against it being striped.

Odds against it being striped = 2/3 =0.6667 = 66.67 %

Explanation:

  Total number of billiard balls = 12

  Total number of solid colored balls = 8

  Total number of striped colored balls = 4

  Probability of an outcome = Number of favorable outcome/ Total number of outcome.

   Here total number of outcomes = Total number of billiard balls =  12

   Number of favorable outcomes =Total number of striped colored balls = 4

   Probability of ball being striped = 4/12 = 1/3 =0.333 =33.33 %

 So odds in favor of being striped = 1/3

 Odds against it being striped = 1-1/3 = 2/3 =0.6667 = 66.67 %

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐