Question 1193990
**1. Total Outcomes**

* Each student can have two possible outcomes: 
    * S: Suffers from math anxiety
    * N: Does not suffer from math anxiety

* For two students, the total number of possible outcomes is 2 * 2 = 4.

**a. Tree Diagram**

```
   Start
   /   \
  S     N 
 / \   / \
S   N S   N 
```

* The tree diagram visually represents the possible outcomes for each student and their combinations.

**b. Venn Diagram**

* Create two overlapping circles. 
* One circle represents the first student, the other represents the second student.
* Within each circle, divide it into two sections: S (suffers) and N (does not suffer).
* The overlapping region represents the outcome where both students suffer from math anxiety.

**c. List of Outcomes**

* **i. Both students suffer from math anxiety:** {SS} (Simple event)
* **ii. Exactly one student suffers from math anxiety:** {SN, NS} (Compound event)
* **iii. The first student does not suffer and the second suffers from math anxiety:** {NS} (Simple event)
* **iv. None of the students suffers from math anxiety:** {NN} (Simple event)

**Note:**

* **Simple Event:** An event that consists of a single outcome.
* **Compound Event:** An event that consists of two or more simple events.

Let me know if you'd like to explore any of these concepts further!