femalea have a 0.252% rate of red-green color blindness. if a female is randomly selected, what is the probability that they do not have red-green color blindness?

To find the probability that a randomly selected female does not have red-green color blindness, we need to calculate the complement of the probability that a female does have red-green color blindness.

Given:
- The probability that a female has red-green color blindness is 0.252%.

### Step-by-Step Solution

1. **Convert the percentage to a decimal**:

   \[
   \text{Probability of red-green color blindness} = 0.252\% = \frac{0.252}{100} = 0.00252
   \]

2. **Calculate the complement probability**:

   The probability that a female does **not** have red-green color blindness is:

   \[
   \text{Probability of not having red-green color blindness} = 1 - \text{Probability of red-green color blindness}
   \]

   Substituting the value:

   \[
   \text{Probability of not having red-green color blindness} = 1 - 0.00252 = 0.99748
   \]

3. **Convert the result back to a percentage**:

   \[
   0.99748 \times 100 = 99.748\%
   \]

### Conclusion

The probability that a randomly selected female does not have red-green color blindness is **99.748%**.

---

Would you like to know more about how probabilities work or have any other questions?

Here are 5 related questions for further exploration:

1. What is the probability that two randomly selected females both do not have red-green color blindness?
2. How do you calculate the probability of multiple independent events occurring?
3. How does the probability of color blindness in males compare to that in females?
4. What other types of color blindness exist, and how do their probabilities differ by gender?
5. How can probability be used to understand genetics and inheritance patterns?

**Tip:** When calculating probabilities, always check if the question asks for an event's probability or its complement.

Discover how to calculate the probability that a randomly selected female does not have red-green color blindness, given a 0.252% rate of occurrence. This problem uses the complement rule and covers essential probability concepts. Suitable for Grades 6-8.

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