932 views
2 votes
Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds six puppies that he likes: a male and female puppy from each of the three breeds of boxer, collie, and Labrador. The puppies are each so cute that Alejandro cannot make up his mind so he decides to pick the dog randomly. Find the probability that Alejandro chooses a female boxer

User Jay Modi
by
7.8k points

1 Answer

6 votes

Final answer:

The probability that Alejandro chooses a female boxer from the shelter is 1 out of 6, or approximately 16.67%.

Step-by-step explanation:

Alejandro is at an animal shelter and wants to adopt a puppy randomly from a group of six that includes a male and female from each of the three breeds: boxer, collie, and Labrador. The question asks us to find the probability that Alejandro chooses a female boxer.

To solve this, we need to consider the total number of outcomes and the number of favorable outcomes. Since there are 6 puppies, and only one of them is a female boxer, there is just one favorable outcome. Therefore, the probability (P) that Alejandro chooses a female boxer is:

P(female boxer) = Number of female boxers / Total number of puppies

P(female boxer) = 1/6

This simplifies to an approximate probability of 0.1667, which means there is roughly a 16.67% chance Alejandro will pick the female boxer.

User Laszlok
by
8.0k points