Here is a classification of each pair of events as either mutually exclusive or non-mutually exclusive:

a.) Event A: Randomly drawing a grey sock from a drawer.
Event B: Randomly drawing a wool sock from a drawer.

• Classification: Non-mutually exclusive (A grey sock could also be a wool sock.)

b.) Event A: Randomly selecting a student with brown eyes.
Event B: Randomly selecting a student on the honour roll.

• Classification: Non-mutually exclusive (A student could have brown eyes and also be on the honour roll.)

c.) Event A: Having an even number of students in your class.
Event B: Having an odd number of students in your class.

• Classification: Mutually exclusive (The number of students in the class can either be even or odd, but not both.)

d.) Event A: Rolling a six with a die.
Event B: Rolling a prime number with a die.

• Classification: Non-mutually exclusive (The number 6 is not prime, but you can roll either a 2, 3, or 5, which are prime numbers.)

e.) Event A: Your birthday falling on a Saturday next year.
Event B: Your birthday falling on a weekend next year.

• Classification: Non-mutually exclusive (If your birthday falls on a Saturday, it's also part of the weekend.)

f.) Event A: Getting an A on the next test.
Event B: Passing the next test.

• Classification: Non-mutually exclusive (If you get an A, you also pass the test.)

g.) Event A: Calm weather at noon tomorrow.
Event B: Stormy weather at noon tomorrow.

• Classification: Mutually exclusive (The weather cannot be both calm and stormy at the same time.)

h.) Event A: Sunny weather next week.
Event B: Rainy weather next week.

• Classification: Non-mutually exclusive (It's possible for there to be sunny weather on some days and rainy weather on others during the week.)

---

Would you like further details on any of these classifications?

Here are 5 related questions:

1. What is the definition of mutually exclusive events in probability?
2. Can mutually exclusive events occur simultaneously?
3. How do you calculate the probability of non-mutually exclusive events?
4. What is the difference between independent and mutually exclusive events?
5. Can an event be mutually exclusive and independent?

Tip: In probability, mutually exclusive events cannot occur together, while non-mutually exclusive events can happen at the same time.