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To solve this, we need to calculate the probability that an animal is male, given that it is a pig. This is a conditional probability question, where we use the formula:

\[
P(\text{Male | Pig}) = \frac{P(\text{Male and Pig})}{P(\text{Pig})}
\]

### Step 1: Identify the Relevant Numbers from the Table

From the table:
- The number of male pigs = 5
- The total number of pigs (male and female) = 5 (male) + 3 (female) = 8

### Step 2: Calculate the Probability

1. **P(Male and Pig)**: This is the probability that an animal is both male and a pig. Since there are 5 male pigs out of a total of 34 animals, \( P(\text{Male and Pig}) = \frac{5}{34} \).
   
2. **P(Pig)**: This is the probability that an animal is a pig, regardless of gender. Since there are 8 pigs in total out of 34 animals, \( P(\text{Pig}) = \frac{8}{34} \).

### Step 3: Apply the Formula

\[
P(\text{Male | Pig}) = \frac{\frac{5}{34}}{\frac{8}{34}} = \frac{5}{8}
\]

### Final Answer

The probability that an animal is male, given that it is a pig, is:

\[
P(\text{Male | Pig}) = \frac{5}{8}
\]

Would you like further details or have any questions?

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Here are 5 related questions to expand your understanding:
1. How would the probability change if there were an equal number of male and female pigs?
2. What is the probability that an animal is female, given that it is a sheep?
3. How would you calculate the probability of selecting a male animal, regardless of type?
4. What is the total probability of selecting a chicken?
5. How does conditional probability differ from joint probability?

**Tip:** When calculating conditional probabilities, always ensure that the denominator reflects the total of the given condition (e.g., total pigs in this case).

An animal is randomly selected from a table. What is the probability that it is a male, given that it is a pig?

Learn how to calculate the conditional probability of selecting a male, given that the selected animal is a pig. This example uses a table with animal counts and demonstrates conditional probability, including key formulas and concepts suitable for high school students.

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