From a tank containing 10 male fish and 12 female fish, a fish is taken out, then probability that it is a female fish is?

Answer

To find the probability of drawing a female fish from a tank containing 10 male fish and 12 female fish, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Fish**:
- We have 10 male fish and 12 female fish.
- Total number of fish = Number of male fish + Number of female fish
\[ \text{Total number of fish} = 10 + 12 = 22 \]

2. **Identify the Number of Favorable Outcomes**:
- The favorable outcomes are the number of female fish in the tank.
- Number of female fish = 12

3. **Calculate the Probability**:
- Probability is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- Substituting the values we found:
\[ \text{Probability of drawing a female fish} = \frac{12}{22} \]

4. **Simplify the Fraction**:
- To simplify \(\frac{12}{22}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
\[ \frac{12 \div 2}{22 \div 2} = \frac{6}{11} \]

5. **Conclusion**:
- Therefore, the probability of drawing a female fish from the tank is:
\[ \frac{6}{11} \]