Question

Consider tossing a pair or fair dice two times. Is getting A = 7 on the first roll; B = 6 or less on the first roll disjoint, independent, or neither?

Answer 1

If you READ the question, you will see that both happen only at the first roll.

Explanation:

Outcomes of `=7 OR <=6` are mutually exclusive, but they can happen at the same roll, but it's EITHER A or B. This is called disjoint (A excludes B).

Note:
If outcome B were on the second roll, they would be independent.
The outcome of the first roll has no effect on the outcome of the second roll.