a) A and B. Is it exhaustive? Is it mutually exclusive? b) A and C. Is it exhaus
ID: 3175205 • Letter: A
Question
a) A and B. Is it exhaustive? Is it mutually exclusive?
b) A and C. Is it exhaustive? Is it mutually exclusive?
c) A and D. Is is exhaustive? Is it mutually exclusive?
d) B and C. Is it exhaustive? Is it mutually exclusive?
You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You define A as {1 3 4}, B as {1 2 3 5 6}, C as {1 4}, and D as {3 4 5}. Determine which of the following events are exhaustive and/or mutually exclusive.
a) A and B. Is it exhaustive? Is it mutually exclusive?
b) A and C. Is it exhaustive? Is it mutually exclusive?
c) A and D. Is is exhaustive? Is it mutually exclusive?
d) B and C. Is it exhaustive? Is it mutually exclusive?
Explanation / Answer
Exhaustive: Union is equal to S.
mutually exclusive: intersection is empty
(a) Exhaustive but not mutually exclusive
(b) Neither Exhaustive nor mutually exclusive
(c) Neither Exhaustive nor mutually exclusive
(d) Exhaustive but not mutually exclusive