Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
A number is chosen at random from the set
MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra
Problem
A number
x
x
x
is chosen at random from the set
{
1
,
2
,
3
,
4
,
…
,
100
}
\{1, 2, 3, 4, \dots, 100\}
{
1
,
2
,
3
,
4
,
…
,
100
}
. Define the event:
A
A
A
= the chosen number
x
x
x
satisfies
(
x
−
10
)
(
x
−
50
)
(
x
−
30
)
≥
0
\frac{(x-10)(x-50)}{(x-30)} \ge 0
(
x
−
30
)
(
x
−
10
)
(
x
−
50
)
≥
0
Then
P
(
A
)
P(A)
P
(
A
)
is: (a) 0.71 (b) 0.70 (c) 0.51 (d) 0.20
Related theory
Linear Inequalities
Functions
Quadratic and rational inequalities
Algebra
Browse the problem library