Question

Alejandro wants to adopt a puppy from an animal shelter. At the​ shelter, he finds eight puppies that he​ likes: a male and female puppy from each of the four breeds of 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 .

Answer 1

Hence the required probability is, 3/4

Explanation:

At the shelter, he likes :

a male coolie, a female coolie, a male boxer, a female boxer, a male beagle, a female beagle, a male Labrador, and a female Labrador.

Let, A denote the event of selecting a male coolie and B denote the event of selecting a male Labrador.

P(A) = 1/8 = P(B)

Here the probability of selecting a puppy except A & B is,

P(AUB)c = 1 - P(AUB) = 1 - { P(A) + P(B) } = 1 - 1/8 - 1/8 = 3/4