Question 4.140

4.140 Roll a pair of dice two times.

Consider rolling a pair of fair dice two times. For a given roll, consider the total on the up-faces. For each of the following pairs of events, tell whether they are disjoint, independent, or neither.

  1. on the first roll, or more on the first roll.
  2. on the first roll, or more on the second roll.
  3. or less on the second roll, or less on the first roll.
  4. or less on the second roll, or less on the second roll.