You the Preakness of Baltimore, 1-3/16-mile flat race for three-year old thoroug

Question

You the Preakness of Baltimore, 1-3/16-mile flat race for three-year old thoroughbred horses. Your race involves only five horses: Peaquad, Sea Beauty, Warspirit, Silver, and Black Beauty. After inspection the attributes of each horse, you calculate that Peaquad and Black Beauty have the same chance of winning but that Peaquad is twice as likely to win as Warspirit. Also, you calculate that Warspirit is twice as likely to win as Silver, while Silver and Black Beauty have the same chance of winning. What is the probability that Peaquad or Warspirit wins?

Explanation / Answer

here let probabilty of Peaquad and Sea Beauty winning =p

warspirit probabilty of winning =p/2

Silver probability of winning =p/4

probabilty of Black Beauty to win=p/4

as sum of probability =1

hence p+p+p/2+p/4+p/4 =1

p=1/3

hence probability that Peaquad wins =1/3

probability that Warspirit wins =1/6

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