Question

Consider an experiment with sample space S 5 50, 1, 2, 3, 4, 5, 6, 7, 8, 96 and the events A 5 {0, 2, 4, 6, 8} B 5 {1, 3, 5, 7, 9} C 5 {0, 1, 2, 3, 4} D 5 {5, 6, 7, 8, 9} Find the outcomes

Answer 1

Answer with Step-by-step explanation:

S={0,1,2,3,4,5,6,7,8,9}

A={0,2,4,6,8}

B={1,3,5,7,9}

C={0,1,2,3,4}

D={5,6,7,8,9}

a.A'=S-A

A'={0,1,2,3,4,5,6,7,8,9}-{0,2,4,6,8}

A'={1,3,5,7,9}

b.C'=S-C

C'={0,1,2,3,4,5,6,7,8,9}-{0,1,2,3,4}

C'={5,6,7,8,9}

c.D'=S-D

D'={0,1,2,3,4,5,6,7,8,9}-{5,6,7,8,9}

D'={0,1,2,3,4}

d.
`A\cup B=`{0,2,4,6,8}
`\cup`{1,3,5,7,9}

`A\cup B=`{0,1,2,3,4,5,6,7,8,9}=S

e.
`A\cup C`={0,2,4,6,8}
`\cup`{0,1,2,3,4}

`A\cup C`={0,1,2,3,4,6,8}

f.
`A\cup D`={0,2,4,6,8}
`\cup`{5,6,7,8,9}

`A\cup D`={0,2,4,5,6,7,8,9}