Mathematics

Problem

For a fair die, the sample space is

S=\{1,2,3,4,5,6\}

. Let

A=\{1,3,5\}

and

B=\{2,4,6\}

. a. (i) Write

A\cap B

and

A\cup B

. b. (ii) State whether

A

and

B

are mutually exclusive, exhaustive, both, or neither.