Recent questions tagged conditional-probability / GATE Overflow for GATE CSE

0 votes

1 answer

151

probability
A jewelry showroom has announced “500” vehicles prizes, out of which 200 are cars and 300 are bikes. Showroom has purchased 120 bikes and 25 cars from Suzuki and 100 bikes and 150 cars from Mahindra, 80 bikes and 25cars from BMW. What is the probability that a person who won a bike, which is of Suzuki company

A jewelry showroom has announced “500” vehicles prizes, out of which 200 are cars and 300 are bikes. Showroom has purchased 120 bikes and 25 cars from Suzuki and 100 ...

Parshu gate

689 views

Parshu gate asked Nov 27, 2017

1 votes

1 answer

152

Probability
Suppose two dies are rolled .What is the probability of getting 4 on the first die , when the the sum is 6 ? A) 1/5 B)1/6

Suppose two dies are rolled .What is the probability of getting 4 on the first die , when the the sum is 6 ?A) 1/5 B)1/6

NIKU

474 views

NIKU asked Oct 31, 2017

3 votes

1 answer

153

Probability

Shivam Chauhan

520 views

Shivam Chauhan asked Oct 25, 2017

1 votes

1 answer

154

Probability
Let X and Y be independent random variables each taking the values -1 or 1 with probability 1/2. Let Z=XY . Show that X,Y,Z are pairwise independent . Are they indepenedent ?

Let X and Y be independent random variables each taking the values -1 or 1 with probability 1/2. Let Z=XY . Show that X,Y,Z are pairwise independent .Are they indepeneden...

dragonball

1.3k views

dragonball asked Sep 25, 2017

5 votes

1 answer

155

MA 2014
The time to failure, in months, of light bulbs manufactured at two plants A and B obey the exponential distribution with means 6 and 2 months respectively. Plant B produces four times as many bulbs as plant A does. Bulbs from these plants are indistinguishable. They ... is working after 12 months, the probability that it was manufactured at plant A is _____ GIVEN ANSWER: 0.92 to 0.94

The time to failure, in months, of light bulbs manufactured at two plants A and B obey the exponential distribution with means 6 and 2 months respectively. Plant B produc...

Amit puri

1.7k views

Amit puri asked Sep 17, 2017

0 votes

1 answer

156

Probability
In the card game bridge, the 52 cards are dealt out equally to 4 players—called East, West, North, and South. If North and South have a total of 8 spades among them, what is the probability that East has 3 of the remaining 5 spades?

In the card game bridge, the 52 cards are dealt out equally to 4 players—called East,West, North, and South. If North and South have a total of 8 spades among them,what...

Harish Karnam

2.7k views

Harish Karnam asked Aug 29, 2017

2 votes

1 answer

157

Conditional Probability
If the occurrence of some events are dependent on the occurrence of an event A then sum of all the joint probabilities in which the occurrence of event A is considered gives the a) Subjective probability of event A b) Classical probability of event A c) Conditional probability of event A d) Marginal Probability of event A e) Relative frequency of occurrence of event A

If the occurrence of some events are dependent on the occurrence of an event A then sum of all the jointprobabilities in which the occurrence of event A is considered giv...

Shubhanshu

1.1k views

Shubhanshu asked Aug 1, 2017

5 votes

1 answer

158

Probability fair and unfair coin together
How to solve this question. https://www.facebook.com/photo.php?fbid=1131807666919473&set=gm.1597917393573841&type=3&theater A box contains 5 fair coins and 5 biased coins. Each biased coin has a probability of a head 4/5. A coin is drawn at random ... the conditional probability that the second coin is fair, is a) 20/39 b) 20/37 c) 1/2 d) 7/13

How to solve this question.https://www.facebook.com/photo.php?fbid=1131807666919473&set=gm.1597917393573841&type=3&theaterA box contains 5 fair coins and 5 biased coins. ...

Shubhanshu

1.4k views

Shubhanshu asked Jul 20, 2017

0 votes

2 answers

159

Probability puzzles
A grasshopper is sitting on a little stone, which we'll call stone zero. Ahead of him, arranged in a line, are stones one, two, three, et cetera, all the way up to nine. The grasshopper would like to reach that ninth stone, for reasons ... two: he could take one big jump, or two little ones. How many different paths can the grasshopper take to reach his destination?

A grasshopper is sitting on a little stone, which we'll call stone zero. Ahead of him, arranged in a line, are stones one, two, three, et cetera, all the way up to nine. ...

Purple

1.3k views

Purple asked May 23, 2017

4 votes

0 answers

160

Probbility puzzles
Three men - conveniently named A, B, and C - are fighting a duel with pistols. It's A's turn to shoot. The rules of this duel are rather peculiar: the duelists do not all shoot simultaneously, but instead take turns. A fires at B, B fires ... B is a better shot, and hits with probability 0.75 - all shots are independent. What's the probability that A wins the duel?

Three men — conveniently named A, B, and C — are fighting a duel with pistols. It's A's turn to shoot. The rules of this duel are rather peculiar: the duelists do not...

Purple

1.2k views

Purple asked May 23, 2017

1 votes

2 answers

161

ISRO2016 EC Probability
A person on a trip has a choice between a private car and public transport. The probability of using a private car is $0.45.$ While using public transport, the further choice available are bus and metro. Out of which the probability of commuting by a bus is $0.55.$ In such a situation, the ... $0.25$ $0.45, 0.25$ and $0.30$ $0.45, 0.55$ and $0$ $0.45, 0.35$ and $0.20$

A person on a trip has a choice between a private car and public transport. The probability of using a private car is $0.45.$ While using public transport, the further ch...

sh!va

1.8k views

sh!va asked Feb 22, 2017

65 votes

6 answers

162

GATE CSE 2017 Set 2 | Question: 26
$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the job is $\dfrac{1}{4},$ the probability that $P$ applies for the job given that $Q$ applies for the job is $\dfrac{1}{2},$ and the probability that $Q$ applies for the ... $\left(\dfrac{5}{6}\right)$ $\left(\dfrac{7}{8}\right)$ $\left(\dfrac{11}{12}\right)$

$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the job is $\dfrac{1}{4},$ the probability that $P$ applies for the job given that $Q...

Arjun

12.5k views

Arjun asked Feb 14, 2017

5 votes

2 answers

163

Test by Bikram | Mock GATE | Test 2 | Question: 36
Amazon shipped $5$ computer parts, $1$ of which was defective, and Flipkart shipped $4$ computer parts, $2$ of which were defective. One computer part is to be chosen uniformly at random from the $9$ parts shipped by the companies. If the chosen part is found to be defective, the probability that the chip came from Flipkart is _______.

Amazon shipped $5$ computer parts, $1$ of which was defective, and Flipkart shipped $4$ computer parts, $2$ of which were defective. One computer part is to be chosen uni...

Bikram

637 views

Bikram asked Jan 24, 2017

3 votes

1 answer

164

Test by Bikram | Mock GATE | Test 1 | Question: 1
There are "m" red balls and "n" green balls in a bucket. p balls are drawn from the urn and if found that all of them are green then what is the probability that another ball drawn from those remaining will also be green? Assume p < n p-n/m+n n-p/m+n-p p-m/m+n m-p/m+n-p

There are "m" red balls and "n" green balls in a bucket. p balls are drawn from the urn and if found that all of them are green then what is the probability that another ...

Bikram

453 views

Bikram asked Jan 16, 2017

4 votes

2 answers

165

CMI2016-A-7
Varsha lives alone and dislikes cooking, so she goes out for dinner every evening. She has two favourite restaurants, $\text{Dosa Paradise}$ and $\text{Kababs Unlimited}$, to which she travels by local train. The train to $\text{Dosa Paradise}$ runs every $10$ ... up eating in $\text{Kababs Unlimited}$? $\frac{1}{5}$ $\frac{1}{3}$ $\frac{2}{5}$ $\frac{1}{2}$

Varsha lives alone and dislikes cooking, so she goes out for dinner every evening. She has two favourite restaurants, $\text{Dosa Paradise}$ and $\text{Kababs Unlimited}$...

go_editor

721 views

go_editor asked Dec 30, 2016

2 votes

1 answer

166

Maths
There are 2 white and 4 black balls in urn A; in urn B, there are 4 white and 7 black balls. If one ball is randomly replaced from A into B and a ball is drawn from B then find the probability for the ball to be a white one?

There are 2 white and 4 black balls in urn A; in urn B, there are 4 white and 7 black balls. If one ball is randomly replaced from A into B and a ball is drawn from B the...

Anmol Verma

514 views

Anmol Verma asked Dec 25, 2016

6 votes

1 answer

167

TIFR CSE 2016 | Part A | Question: 12
There are two rocks $A$ and $B$, located close to each other, in a lily pond. There is a frog that jumps randomly between the two rocks at time $t = 0,1, 2, \ldots$. The location of the frog is determined as follows. Initially, at time $t = 0$ ... its third jump)? $\frac{1}{2}$ $\frac{31}{54}$ $\frac{14}{27}$ $\frac{61}{108}$ $\frac{2}{3}$

There are two rocks $A$ and $B$, located close to each other, in a lily pond. There is a frog that jumps randomly between the two rocks at time $t = 0,1, 2, \ldots$. The ...

Ad Ri Ta

1.2k views

Ad Ri Ta asked Oct 11, 2016

2 votes

1 answer

168

MadeEasy Workbook: Probability - Conditional Probability
Q : Two computers A and B are to be sold . A salesman who is assigned the job of selling these has the chances of 60 percent and 40 percent respectively to get success.The two computers may be sold independently.Given that at least ... probability that computer A has been sold is ..........(Round off your answer correct to 2 decimal places).

Q : Two computers A and B are to be sold . A salesman who is assigned the job of selling these has the chances of 60 percent and 40 percent respectively to get success.Th...

Habibkhan

3.4k views

Habibkhan asked Oct 4, 2016

3 votes

3 answers

169

conditional probability
A box contains 10 mangoes out of which 4 are rotten .Two mangoes are taken out together. If one of them is found to be good ,then find the probability other is also good

A box contains 10 mangoes out of which 4 are rotten .Two mangoes are taken out together. If one of them is found to be good ,then find the probability other is also good...

indrajeet

2.1k views

indrajeet asked Aug 6, 2016

3 votes

3 answers

170

conditional probability
One dice is thrown three times and the sum of the thrown numbers is 15.find the probability for which number 4 appears in first throw.

One dice is thrown three times and the sum of the thrown numbers is 15.find the probability for which number 4 appears in first throw.

indrajeet

1.2k views

indrajeet asked Aug 6, 2016

13 votes

5 answers

171

ISRO2007-33
Company $\text{X}$ shipped $5$ computer chips, $1$ of which was defective. and company $\text{Y}$ shipped $4$ computer chips, $2$ of which were defective. One computer chip is to be chosen uniformly at a random from the $9$ chips shipped by the companies. If the chosen chip ... be defective, what is the probability that the chip came from the company $\text{Y}?$ $2/9$ $4/9$ $2/3$ $1/2$

Company $\text{X}$ shipped $5$ computer chips, $1$ of which was defective. and company $\text{Y}$ shipped $4$ computer chips, $2$ of which were defective. One computer ch...

go_editor

4.5k views

go_editor asked Jun 10, 2016

13 votes

5 answers

172

CMI2013-A-02
$10\%$ of all email you receive is spam. Your spam filter is $90\%$ reliable: that is, $90\%$ of the mails it marks as spam are indeed spam and $90\%$ of spam mails are correctly labeled as spam. If you see a mail marked spam by your filter, what is the probability that it really is spam? $10\%$ $50\%$ $70\%$ $90\%$

$10\%$ of all email you receive is spam. Your spam filter is $90\%$ reliable: that is, $90\%$ of the mails it marks as spam are indeed spam and $90\%$ of spam mails are c...

go_editor

7.9k views

go_editor asked May 23, 2016

4 votes

2 answers

173

Conditional Probability IITB (RA) 2016
This question was asked in IITB (RA) admissions 2016. I have two blue dice, with which I play a game. If I throw a double six (i.e. if I get two six on both the dices) then I win the game. I separately throw a red dice. If I get ... rolled the three die. I turn around to you and said, "I won!". What is the probability that I actually won the game?

This question was asked in IITB (RA) admissions 2016.I have two blue dice, with which I play a game. If I throw a double six (i.e. if I get two six on both the dices) the...

Utk

1.0k views

Utk asked May 19, 2016

7 votes

1 answer

174

ISRO-2013-71
Let $P(E)$ denote the probability of the occurrence of event $E$. If $P(A)= 0.5$ and $P(B)=1$ then the values of $P(A|B)$ and $P(B|A)$ respectively are $0.5, 0.25$ $0.25, 0.5$ $0.5, 1$ $1, 0.5$

Let $P(E)$ denote the probability of the occurrence of event $E$. If $P(A)= 0.5$ and $P(B)=1$ then the values of $P(A|B)$ and $P(B|A)$ respectively are$0.5, 0.25$$0.25, 0...

makhdoom ghaya

5.3k views

makhdoom ghaya asked May 13, 2016

9 votes

2 answers

175

GATE2014 AG: GA-10
$10$% of the population in a town is $\text{HIV}\large ^{+}$. A new diagnostic kit for $\text{HIV}$ detection is available; this kit correctly identifies $\text{HIV}\large ^{+}$ individuals $95$ ... time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is ______.

$10$% of the population in a town is $\text{HIV}\large ^{+}$. A new diagnostic kit for $\text{HIV}$ detection is available; this kit correctly identifies $\text{HIV}\larg...

makhdoom ghaya

6.8k views

makhdoom ghaya asked Mar 21, 2016

34 votes

11 answers

176

GATE2014 EC-1: GA-10
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is $\dfrac{1}{4}$ $\dfrac{1}{3}$ $\dfrac{1}{2}$ $\dfrac{2}{3}$

You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coi...

makhdoom ghaya

10.3k views

makhdoom ghaya asked Mar 18, 2016

7 votes

3 answers

177

GATE2013 AE: GA-10
In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by $M2$? $0.35$ $0.45$ $0.5$ $0.4$

In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ ar...

Akash Kanase

5.0k views

Akash Kanase asked Feb 15, 2016

14 votes

2 answers

178

GATE2015 ME-3: GA-10
A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, ... the following statements is TRUE? X and Y are not independent Y and Z are dependent Y and Z are independent X and Z are independent

A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event ...

Akash Kanase

4.8k views

Akash Kanase asked Feb 15, 2016

46 votes

11 answers

179

GATE CSE 2016 Set 2 | Question: 05
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is $0.7$, and given that it is of Type $2$ is $0.4$. The probability that an LED bulb chosen uniformly at random lasts more than $100$ hours is _________.

Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is ...

Akash Kanase

9.6k views

Akash Kanase asked Feb 12, 2016

3 votes

2 answers

180

Bayes Probability Question
URN I contains 3 White,2 Black 2 Green Balls. URN II contains 2 White,3 Black 4 Green Balls. URN III contains 5 White,2 Black 2 Green Balls. An urn is chosen at random and two balls are drawn,they happen to be black and green. What is the probability that the come from urns 1) URN I 2) URN II 3) URN III ????

URN I contains 3 White,2 Black 2 Green Balls.URN II contains 2 White,3 Black 4 Green Balls.URN III contains 5 White,2 Black 2 Green Balls.An urn is chosen at random and t...

bahirNaik

2.1k views

bahirNaik asked Jan 1, 2016

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