For a certain horse race comma the odds in favor of a certain horse finishing in second place horse race, the odds in favor of a certain horse finishing in second place are given as 99 to 9191. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Respuesta :

Answer:

indicated degree of likelihood is 0.09.

Step-by-step explanation:

As it was informed by the question the odds of the horse winning second place is equal to [tex]\frac{9}{91}[/tex]. To express the indicated degree of likelihood we use the following formula:

[tex]odds = \frac{p}{1-p}[/tex]

We need to find probability.

[tex]\frac{9}{91} = \frac{p}{1-p} \Rightarrow \frac{9p}{91} + p = \frac{9}{91} \Rightarrow p(\frac{9}{91} + 1) = \frac{9}{91} \Rightarrow \frac{100p}{91} = \frac{9}{91} \Rightarrow 100p = 9 \Rightarrow p = \frac{9}{100} = 0.09\\\[/tex]

So the indicated degree of likelihood is 0.09.