6. of those that adopt a single animal from the animal shelter, 40% adopt a dog and 30% adopt a cat. what is…

6. of those that adopt a single animal from the animal shelter, 40% adopt a dog and 30% adopt a cat. what is the probability that the animal adopted by the last visitor was either a dog or a cat?\na. 10%\nb. 12%\nc. 35%\nd. 70%

6. of those that adopt a single animal from the animal shelter, 40% adopt a dog and 30% adopt a cat. what is the probability that the animal adopted by the last visitor was either a dog or a cat?\na. 10%\nb. 12%\nc. 35%\nd. 70%

Answer

Explanation:

Step1: Identify the principle

Use the addition - rule for mutually - exclusive events.

Step2: Apply the formula

Let $P(D)$ be the probability of adopting a dog and $P(C)$ be the probability of adopting a cat. Since a single - animal adopter can't adopt a dog and a cat at the same time (mutually exclusive events), the probability of adopting a dog or a cat is $P(D\cup C)=P(D)+P(C)$. Given $P(D) = 40%=0.4$ and $P(C)=30% = 0.3$. Then $P(D\cup C)=0.4 + 0.3=0.7 = 70%$.

Answer:

D. 70%