You roll a die with the sample space s = {1, 2, 3, 4, 5, 6}. You define a as {1, 2, 3}, b as {1, 2, 3, 5, 6}, c as {4, 6}, and d as {4, 5, 6}. Determine which of the following events are exhaustive and/or mutually exclusive.

Layer r contains a well-known index fossil that is 100 million years old. based on this information and the principle of superposition, a. layers t and m are older than 100 million years, and layers x and g are younger than 100 million years. b. layers t, m, x, and g are all older than 100 million years. c. layers t and m are younger than 100 million years, and layers x and g are older than 100 million years.