Determine the probability that a randomly selected multiple birth for women​ 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)equals= 15-19=88

​20-24=508

​25-29=1633

​30-34=2834

​35-39=1843

​40-44=376

45-54=116

To determine the probability that a randomly selected multiple birth involved a mother who was **not** 30 to 39 years old, we need to follow these steps:

### 1. **Calculate the total number of multiple births:**

Add up the numbers of multiple births across all age groups:

\[
\text{Total} = 88 + 508 + 1633 + 2834 + 1843 + 376 + 116 = 7398
\]

### 2. **Calculate the number of multiple births for mothers aged 30 to 39 years old:**

Add the number of multiple births for the age groups 30-34 and 35-39:

\[
\text{Multiple births for mothers aged 30-39} = 2834 + 1843 = 4677
\]

### 3. **Calculate the number of multiple births for mothers not aged 30 to 39 years old:**

Subtract the number of multiple births for mothers aged 30-39 from the total number of multiple births:

\[
\text{Multiple births not aged 30-39} = 7398 - 4677 = 2721
\]

### 4. **Determine the probability:**

The probability \( P(\text{not 30 to 39}) \) is the ratio of the number of multiple births not aged 30-39 to the total number of multiple births:

\[
P(\text{not 30 to 39}) = \frac{2721}{7398}
\]

Now, let's calculate this probability:

\[
P(\text{not 30 to 39}) \approx \frac{2721}{7398} \approx 0.3678
\]

### **Final Answer:**

The probability that a randomly selected multiple birth involved a mother who was not 30 to 39 years old is approximately **0.3678** or **36.78%**.

Would you like more details on this, or do you have any questions?

Here are some related questions:
1. What is the probability of a multiple birth involving a mother aged 25 to 29?
2. How would the probability change if we excluded the 45-54 age group?
3. What is the probability that a randomly selected multiple birth involved a mother aged 35-44?
4. How can this probability be interpreted in the context of maternal age?
5. What are the odds in favor of a mother not being 30-39 years old in a multiple birth?

**Tip:** When dealing with probabilities, always ensure that all possible outcomes are considered in the total for accurate calculations.

Learn how to calculate the probability that a randomly selected multiple birth involved a mother who was not 30 to 39 years old. Follow a detailed step-by-step solution including adding up multiple births, calculating for specific age groups, and determining probabilities. Suitable for high school students studying probability and statistics.

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