if a person is randomly selected from the US population, the odds the person lives in California are 1 to 8.
What is the probability of two decimal places of a randomly chosen person being from California?
What are the odds of a randomly chosen person not being from California?

Respuesta :

Answer:

The probability of a randomly chosen person being from California is 0.111.

The probability of a randomly chosen person not being from California   is 0.889.

Step-by-step explanation:

The odds of a person, selected from the US population, living in California is 1 to 8.

That is:

[tex]\text{Odds}(\frac{\text{Lives in California}}{\text{Does not Lives in California}})=\frac{1}{8}[/tex]

Compute the probability of a randomly chosen person being from California as follows:

[tex]P(\text{Lives in California})=\frac{\text{Odds}(\text{Lives in California})}{\text{Odds}(\text{Lives in California})+\text{Odds}(\text{Does not Lives in California})}[/tex]

                                  [tex]=\frac{1}{1+8}\\\\=\frac{1}{9}\\\\=0.111[/tex]

The probability of a randomly chosen person being from California is 0.111.

Compute the probability of a randomly chosen person not being from California as follows:

[tex]P(\text{Love in California})=1-P(\text{Does not Love in California})[/tex]

                                  [tex]=1-0.111\\\\=0.889[/tex]

Thus, the probability of a randomly chosen person not being from California   is 0.889.