The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
GATE Overflow
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
First time here? Checkout the
FAQ
!
x
×
Close
Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
here
GATE19942.8
+10
votes
540
views
Let $A, B$ and $C$ be independent events which occur with probabilities $0.8, 0.5$ and $0.3$ respectively. The probability of occurrence of at least one of the event is _____
gate1994
probability
normal
numericalanswers
asked
Oct 4, 2014
in
Probability
by
Kathleen
Veteran
(
59.9k
points)

540
views
answer
comment
Your identity must be verified before you can post a comment. Please wait if already uploaded identity proof or upload your proof
here
Please
log in
or
register
to answer this question.
2
Answers
+15
votes
Best answer
$P(A) = 0.8$ $\implies$ $P(A') =$ $1  0.8 = 0.2$
$P(B) = 0.5$ $\implies$ $P(B')$ = $1  0.5 = 0.5$
$P(C) = 0.3$ $\implies$ $P(C')$ = $1  0.3 = 0.7$
$P$(No event will occur): =$ 0.2 * 0.5 * 0.7 = 0.07$
$P$(at least 1 event will occur): $1  0.07 = 0 .93$
answered
Oct 10, 2014
by
Manu Thakur
Boss
(
42.7k
points)
edited
Jun 8, 2018
by
Milicevic3306
comment
Your identity must be verified before you can post a comment. Please wait if already uploaded identity proof or upload your proof
here
+2
votes
P(at least A or B or C )= P(A u B u c)
= 0.8+0.5+0.3(0.8*0.5) (0.5 *0.3) (0.8*0.3)+(0.8*0.5*0.3)
=1.60.67
=0.93
answered
Jun 14, 2018
by
sutanay3
Active
(
3.9k
points)
comment
0
This is right but above method is fast.
Your identity must be verified before you can post a comment. Please wait if already uploaded identity proof or upload your proof
here
← Prev. Qn. in Sub.
Next Qn. in Sub. →
← Prev.
Next →
Answer:
0.93
Related questions
+16
votes
5
answers
1
GATE19941.4, ISRO20172
Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE? $P (A \cap B) = P(A)P(B)$ $P (A \cup B) = P(A)+P(B)$ $P (A \mid B) = P(A \cap B)P(B)$ $P (A \cup B) \leq P(A) + P(B)$
asked
Oct 4, 2014
in
Probability
by
Kathleen
Veteran
(
59.9k
points)

5.3k
views
gate1994
probability
conditionalprobability
normal
isro2017
+13
votes
3
answers
2
GATE19943.8
Give a relational algebra expression using only the minimum number of operators from $(∪, −)$ which is equivalent to $R$ $∩$ $S.$
asked
Oct 6, 2014
in
Set Theory & Algebra
by
Kathleen
Veteran
(
59.9k
points)

725
views
gate1994
settheory&algebra
normal
sets
descriptive
+13
votes
1
answer
3
GATE19941.8
The logic expression for the output of the circuit shown in figure below is: $\overline{AC} + \overline{BC} +CD$ $A\overline{C} + B\overline{C} + CD$ $ABC +\overline {C}\; \overline{D}$ $\overline{A}\; \overline{B} + \overline{B}\; \overline{C} +CD$
asked
Oct 4, 2014
in
Digital Logic
by
Kathleen
Veteran
(
59.9k
points)

1.5k
views
gate1994
digitallogic
circuitoutput
normal
0
votes
1
answer
4
GATE1994
The number of substrings(of all lengths inclusive) that can be formed from character string of length n is $a)n$ $b)n^{2}$ $c)\frac{n\left ( n1 \right )}{2}$ $d)\frac{n\left ( n+1 \right )}{2}+1$
asked
May 16, 2018
in
Theory of Computation
by
anji
(
29
points)

230
views
theoryofcomputation
numericalanswers
gate1994
+13
votes
3
answers
5
GATE19942.6
The probability of an event $B$ is $P_1$. The probability that events $A$ and $B$ occur together is $P_2$ while the probability that $A$ and $\bar{B}$ occur together is $P_3$. The probability of the event $A$ in terms of $P_1, P_2$ and $P_3$ is _____________
asked
Oct 4, 2014
in
Probability
by
Kathleen
Veteran
(
59.9k
points)

762
views
gate1994
probability
normal
descriptive
+13
votes
2
answers
6
GATE19943.2
State True or False with one line explanation Expanding opcode instruction formats are commonly employed in RISC. (Reduced Instruction Set Computers) machines.
asked
Oct 4, 2014
in
CO & Architecture
by
Kathleen
Veteran
(
59.9k
points)

1.2k
views
gate1994
coandarchitecture
machineinstructions
instructionformat
normal
+25
votes
3
answers
7
GATE19942.2
On the set $N$ of nonnegative integers, the binary operation ______ is associative and noncommutative.
asked
Oct 4, 2014
in
Set Theory & Algebra
by
Kathleen
Veteran
(
59.9k
points)

1k
views
gate1994
settheory&algebra
normal
binaryoperation
descriptive
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
IIT Gandhinagar review
AIR175 : GO is enough
GATE 2019 My reasoned routine. (AIR 558)
if i can you also can
M.S admissions help
All categories
General Aptitude
1.6k
Engineering Mathematics
7.3k
Discrete Mathematics
5k
Probability
1k
Linear Algebra
693
Calculus
500
Digital Logic
2.7k
Programming & DS
4.9k
Algorithms
4.2k
Theory of Computation
5.4k
Compiler Design
2.1k
Operating System
4.2k
Databases
4k
CO & Architecture
3.5k
Computer Networks
4.2k
Non GATE
1.4k
Others
1.5k
Admissions
570
Exam Queries
566
Tier 1 Placement Questions
23
Job Queries
70
Projects
18
Follow @csegate
Recent Blog Comments
can anybody compare it with other new iits such...
can i get a call on 580 (OBCNCL)
Many times Anger , Aggression and Fear push...
One word would be "Priorities" Second word shall...
What's interesting to me is that despite having...
48,691
questions
52,776
answers
183,437
comments
68,391
users