Recent questions tagged conditional-probability

0 votes

1 answer

1

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 ?

asked Sep 25 in Probability by ashwina Active (1.2k points) | 46 views

0 votes

1 answer

2

Probability
If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads? Ans is 1/3. Why this answer does not come when we apply conditional probability?

asked Sep 9 in Mathematical Logic by Injila (139 points) | 67 views

0 votes

1 answer

3

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?

asked Aug 30 in Probability by Harish Karnam Junior (547 points) | 94 views

+2 votes

1 answer

4

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) ... ) Conditional probability of event A d) Marginal Probability of event A e) Relative frequency of occurrence of event A

asked Aug 1 in Probability by Shubhanshu Boss (9.2k points) | 102 views

+2 votes

1 answer

5

Probability fair and unfair coin together

asked Jul 20 in Databases by Shubhanshu Boss (9.2k points) | 60 views

0 votes

2 answers

6

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, ... he could take one big jump, or two little ones. How many different paths can the grasshopper take to reach his destination?

asked May 23 in Probability by Purple Loyal (4.1k points) | 170 views

+4 votes

0 answers

7

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 ... a better shot, and hits with probability 0.75 - all shots are independent. What's the probability that A wins the duel?

asked May 23 in Probability by Purple Loyal (4.1k points) | 196 views

+6 votes

3 answers

8

TIFR 2012- Probability
Amar and Akbar both tell the truth with probability 3/4 and lie with probability 1/4. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What probability should Anthony assign to India's win? (a) 9/16 (b) 6/16 (c) 7/16 (d) 10/16

asked Mar 4 in Probability by sh!va Veteran (30.2k points) | 157 views

+6 votes

3 answers

9

GATE2017-2-26
P and Q are considering to apply for a job. The probability that P applies for the job is 1/4, the probability that P applies for the job given that Q applies for the job is 1/2., and the probability that Q applies for the job given that P ... probability that P does not apply for the job given that Q does not apply for this job is 4/5 5/6 7/8 11/12

asked Feb 14 in Probability by Arjun Veteran (319k points) | 1.3k views

+2 votes

1 answer

10

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?

asked Dec 25, 2016 in Probability by Anmol Verma Active (1.5k points) | 130 views

+1 vote

3 answers

11

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

asked Aug 7, 2016 in Probability by indrajeet Active (1.9k points) | 539 views

+2 votes

3 answers

12

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.

asked Aug 7, 2016 in Probability by indrajeet Active (1.9k points) | 281 views

+5 votes

4 answers

13

ISRO2007-33
Company X shipped 5 computer chips, 1 of which was defective. and company 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 is found to be defective, what is the probability that the chip came from the company Y? 2/9 4/9 2/3 1/2

asked Jun 10, 2016 in Probability by jothee Veteran (92.8k points) | 1k views

+4 votes

1 answer

14

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 labelled 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%

asked May 23, 2016 in Probability by jothee Veteran (92.8k points) | 226 views

+2 votes

2 answers

15

Conditional Probability IITB (RA) 2016

asked May 19, 2016 in Probability by Utk Active (2.4k points) | 248 views

+4 votes

1 answer

16

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 $0.5, 0.25$ $0.25, 0.5$ $0.5, 1$ $1, 0.5$

asked May 13, 2016 in Probability by makhdoom ghaya Veteran (39.8k points) | 1.2k views

+2 votes

2 answers

17

GATE2014-AG-GA10
$10$% of the population in a town is HIV$^{+}$. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV$^{+}$ individuals $95$% of the time, and HIV$^{-}$ individuals $89$% of the time. A ... patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is ______.

asked Mar 21, 2016 in Numerical Ability by makhdoom ghaya Veteran (39.8k points) | 497 views

+13 votes

4 answers

18

GATE2014-EC01-GA10
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 $1/4$ $1/3$ $1/2$ $2/3$

asked Mar 18, 2016 in Probability by makhdoom ghaya Veteran (39.8k points) | 599 views

+7 votes

2 answers

19

GATE 2015 Aptitude Set 4 Q10
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 ... and Y are not independent (B) Y and Z are dependent (C) Y and Z are independent (D) X and Z are independent

asked Feb 15, 2016 in Numerical Ability by Akash Kanase Veteran (45.9k points) | 381 views

+10 votes

4 answers

20

GATE2016-2-05
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 _________.

asked Feb 12, 2016 in Probability by Akash Kanase Veteran (45.9k points) | 1.2k views

+3 votes

3 answers

21

GATE 2014 EC
Q.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 ... . So please answer the question & Also let me know why should we consider C3 , if we know surely that coin is not C3.

asked Jan 28, 2016 in Numerical Ability by Akash Kanase Veteran (45.9k points) | 830 views

+1 vote

2 answers

22

TIFR-2011-Maths-B-10
Suppose a box contains three cards, one with both sides white, one with both sides black, and one with one side white and the other side black. If you pick a card at random, and the side facing you is white, then the probability that the other side is white is $1/2$.

asked Dec 10, 2015 in Probability by makhdoom ghaya Veteran (39.8k points) | 124 views

+2 votes

1 answer

23

Conditional Probability
A die is thrown 3 times and sum of 3 numbers thrown is 15. Find the chance that first thrown is 4 ?

asked Nov 14, 2015 in Probability by priti Junior (713 points) | 153 views

+4 votes

1 answer

24

random variables
Consider two independent random variables X and Y with identical distributions.The variables X and Y take blue 0, 1 and 2 with probabilities 1/2, 1/4 and 1/4 respectively. What is conditional probability P(X+Y=2/X-Y=0)???

asked Nov 2, 2015 in Probability by Pooja Palod Veteran (32.9k points) | 423 views

+6 votes

3 answers

25

TIFR2012-A-1
Amar and Akbar both tell the truth with probability $3 / 4$ and lie with probability $1 / 4$. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What probability should Anthony assign to India's win? $9 / 16$ $6 / 16$ $7 / 16$ $10 / 16$ None of the above.

asked Oct 25, 2015 in Probability by makhdoom ghaya Veteran (39.8k points) | 336 views

+9 votes

6 answers

26

TIFR2010-A-19, TIFR2014-A-6
Karan tells truth with probability 1/3 and lies with probability 2/3. Independently, Arjun tells truth with probability 3/4 and lies with probability 1/4. Both watch a cricket match. Arjun tells you that India won, Karan tells you that India lost. What probability will you assign to India's win? 1/2 2/3 3/4 5/6 6/7

asked Oct 4, 2015 in Probability by makhdoom ghaya Veteran (39.8k points) | 773 views

+1 vote

1 answer

27

probability
Let x be the number obtained from rolling a fair dice and you toss an unbiassed coin X times. What is the probablity that X=5 given that you have obtained 3 heads from X tosses?

asked Sep 9, 2015 in Probability by Pooja Palod Veteran (32.9k points) | 199 views

+7 votes

5 answers

28

GATE1994-1.4, ISRO2017-2
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 (66.3k points) | 1.6k views

+15 votes

7 answers

29

GATE2012_33
Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6? $10/21$ $5/12$ $2/3$ $1/6$

asked Sep 26, 2014 in Probability by gatecse Veteran (13.5k points) | 2k views

+6 votes

4 answers

30

GATE2005-51
Box P has 2 red balls and 3 blue balls and box Q has 3 red balls and 1 blue ball. A ball is selected as follows: (i) select a box (ii) choose a ball from the selected box such that each ball in the box is equally likely to be chosen. The ... ball selected in the above process is a red ball, the probability that it came from the box P is: 4/19 5/19 2/9 19/30

asked Sep 21, 2014 in Probability by gatecse Veteran (13.5k points) | 559 views

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 questions tagged conditional-probability

Recent Posts

Recent Blog Comments

Recent Badges