Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
A
,
B
A,\,B
A
,
B
and
C
C
C
be three independent events with probabilities
p
,
q
p,\,q
p
,
q
and
r
r
r
respectively. Which of the following equals the probability that at least one of the three events occurs? a)
p
+
q
+
r
p+q+r
p
+
q
+
r
b)
p
+
q
+
r
−
p
q
−
q
r
−
r
p
p+q+r-pq-qr-rp
p
+
q
+
r
−
pq
−
q
r
−
r
p
c)
1
−
(
1
−
p
)
(
1
−
q
)
(
1
−
r
)
1-(1-p)(1-q)(1-r)
1
−
(
1
−
p
)
(
1
−
q
)
(
1
−
r
)
d)
p
q
+
q
r
+
r
p
pq+qr+rp
pq
+
q
r
+
r
p
Browse the problem library