Question 1189821
Here's how to calculate the probabilities:

First, let's organize the data into a contingency table:

| Age Group | Male | Female | Total |
|---|---|---|---|
| 19 and under | 4746 | 4517 | 9263 |
| 20 | 1625 | 1553 | 3178 |
| 21 | 1679 | 1627 | 3306 |
| Total | 8050 | 7697 | 15747 |

*Total number of patients = 15747

Now, let's calculate the probabilities:

**a. Male and 19 years or under:**

*   Number of patients who are male and 19 or under: 4746
*   Total number of patients: 15747
*   Probability: 4746 / 15747 ≈ 0.3014

**b. Age 20 or female:**

*   Number of patients age 20: 3178
*   Number of female patients: 7697
*   Number of patients who are age 20 *and* female: 1553
*   Number of patients who are age 20 *or* female = (Number of age 20) + (Number of female) - (Number of age 20 and female) = 3178 + 7697 - 1553 = 9322
*   Probability: 9322 / 15747 ≈ 0.5920

**c. At least 20 years old:**

*   Number of patients age 20: 3178
*   Number of patients age 21: 3306
*   Number of patients at least 20 years old: 3178 + 3306 = 6484
*   Probability: 6484 / 15747 ≈ 0.4118