Questions: Jane wants to adopt a puppy from an animal shelter. At the shelter, she finds ten puppies that she likes: a male and female puppy from each of the five breeds of beagle, boxer, collie, Labrador, and chihuahua. The puppies are each so cute that she cannot make up her mind, so she decides to pick the dog randomly. Find the probability that Jane picks a male boxer. (A) 1/10 (B) 1/2 (C) 1/5 (D) 3/5 (E) None of these

Jane wants to adopt a puppy from an animal shelter. At the shelter, she finds ten puppies that she likes: a male and female puppy from each of the five breeds of beagle, boxer, collie, Labrador, and chihuahua. The puppies are each so cute that she cannot make up her mind, so she decides to pick the dog randomly. Find the probability that Jane picks a male boxer. (A) 1/10 (B) 1/2 (C) 1/5 (D) 3/5 (E) None of these
Transcript text: Jane wants to adopt a puppy from an animal shelter. At the shelter, she finds ten puppies that she likes: a male and female puppy from each of the five breeds of beagle, boxer, collie, Labrador, and chihuahua. The puppies are each so cute that she cannot make up her mind, so she decides to pick the dog randomly. Find the probability that Jane picks a male boxer. (A) $\frac{1}{10}$ (B) $\frac{1}{2}$ (C) $\frac{1}{5}$ (D) $\frac{3}{5}$ (E) None of these
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Solution

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Solution Steps

To find the probability that Jane picks a male boxer, we need to determine the total number of possible outcomes and the number of favorable outcomes. There are 10 puppies in total, and only 1 of them is a male boxer. The probability is the ratio of the number of favorable outcomes to the total number of outcomes.

Step 1: Determine the Total Number of Outcomes

Jane has a total of 10 puppies to choose from at the shelter. This represents the total number of possible outcomes when she picks a puppy.

Step 2: Determine the Number of Favorable Outcomes

The favorable outcome is Jane picking a male boxer. Since there is only one male boxer among the puppies, the number of favorable outcomes is 1.

Step 3: Calculate the Probability

The probability \( P \) of Jane picking a male boxer is given by the ratio of the number of favorable outcomes to the total number of outcomes: \[ P(\text{male boxer}) = \frac{\text{Number of male boxers}}{\text{Total number of puppies}} = \frac{1}{10} = 0.1 \]

Final Answer

\(\boxed{\frac{1}{10}}\)

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