Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Identify the statement that correctly guarantees that the events
E
1
,
E
2
,
E
3
E_1,E_2,E_3
E
1
,
E
2
,
E
3
form a partition of a sample space
S
S
S
. a)
E
1
∪
E
2
∪
E
3
=
S
E_1\cup E_2\cup E_3=S
E
1
∪
E
2
∪
E
3
=
S
only b)
E
1
∩
E
2
∩
E
3
=
S
E_1\cap E_2\cap E_3=S
E
1
∩
E
2
∩
E
3
=
S
and
E
i
∪
E
j
=
∅
E_i\cup E_j=\varnothing
E
i
∪
E
j
=
∅
for
i
≠
j
i\neq j
i
=
j
c)
E
1
∪
E
2
∪
E
3
=
S
E_1\cup E_2\cup E_3=S
E
1
∪
E
2
∪
E
3
=
S
and
E
i
∩
E
j
=
∅
for
i
≠
j
E_i\cap E_j=\varnothing \text{ for } i\neq j
E
i
∩
E
j
=
∅
for
i
=
j
d)
E
i
∩
E
j
=
∅
E_i\cap E_j=\varnothing
E
i
∩
E
j
=
∅
for
i
≠
j
i\neq j
i
=
j
only
Browse the problem library