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Recent questions tagged conditional-probability
3
votes
1
answer
181
Bayes Probability
Supppose you have a large barrel containing a number of plastic eggs. Some eggs contain pearl and rest contain nothing.Some eggs are painted blue,rest are painted red. Suppose 40 % of the eggs are painted blue,(5/13) of the eggs containing pearls are painted blue,and 20 % of the red eggs are empty. What is the probability that the egg painted blue contains a pearl?
bahirNaik
asked
in
Probability
Dec 30, 2015
by
bahirNaik
1.1k
views
probability
conditional-probability
2
votes
3
answers
182
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 $1/2$.
makhdoom ghaya
asked
in
Probability
Dec 10, 2015
by
makhdoom ghaya
865
views
tifrmaths2011
probability
conditional-probability
14
votes
5
answers
183
TIFR CSE 2015 | Part A | Question: 1
Consider a $6$-sided die with all sides not necessarily equally likely such that probability of an even number is $P (\left \{2, 4, 6 \right \}) =\dfrac{1}{2}$, probability of a multiple of $3$ is $P (\left \{3, 6 \right \}) = 1/3$ and probability of $1$ is ... $P(\left \{ 5 \right \}) \leq \dfrac{1}{3}$ None of the above
makhdoom ghaya
asked
in
Probability
Dec 2, 2015
by
makhdoom ghaya
2.1k
views
tifr2015
probability
conditional-probability
4
votes
1
answer
184
Conditional Probability
A die is thrown 3 times and sum of 3 numbers thrown is 15. Find the chance that first thrown is 4 ?
priti
asked
in
Probability
Nov 14, 2015
by
priti
784
views
probability
conditional-probability
5
votes
1
answer
185
TIFR CSE 2013 | Part B | Question: 10
Let $m, n$ be positive integers with $m$ a power of $2$. Let $s= 100 n^{2} \log m$. Suppose $S_{1}, S_{2},\dots ,S_{m}$ are subsets of ${1, 2, \dots, s}$ such that $ \mid S_{i} \mid= 10 n \log m$ and $ \mid S_{i} \cap S_{j} \mid \leq \log m$ ... $x ∉ T$. $1$ if $x \in T$ and at least $0.9$ if $x ∉ T$. At least $0.9$ if $x \in T$ and $1$ if $x ∉ T$.
makhdoom ghaya
asked
in
Probability
Nov 7, 2015
by
makhdoom ghaya
812
views
tifr2013
probability
conditional-probability
19
votes
7
answers
186
TIFR CSE 2013 | Part A | Question: 6
You are lost in the National park of Kabrastan. The park population consists of tourists and Kabrastanis. Tourists comprise two-thirds of the population the park and give a correct answer to requests for directions with probability $\dfrac{3}{4}$. The air of Kabrastan has an ... $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{2}{3}\right)$ $\left(\dfrac{3}{4}\right)$
makhdoom ghaya
asked
in
Probability
Nov 4, 2015
by
makhdoom ghaya
3.2k
views
tifr2013
probability
conditional-probability
13
votes
1
answer
187
random variables
Consider two independent random variables $X$ and $Y$ with identical distributions.The variables $X$ and $Y$ take value $0, 1$ and $2$ with probabilities $\frac{1}{2},\frac{1}{4}$ $and$ $\frac{1}{4}$ respectively. What is conditional probability $P\left [ \frac{X+Y=2}{X-Y=0} \right ]?$
Pooja Palod
asked
in
Probability
Nov 2, 2015
by
Pooja Palod
4.8k
views
probability
conditional-probability
random-variable
23
votes
5
answers
188
TIFR CSE 2012 | Part A | Question: 20
There are $1000$ balls in a bag, of which $900$ are black and $100$ are white. I randomly draw $100$ balls from the bag. What is the probability that the $101$st ball will be black? $9/10$ More than $9/10$ but less than $1$. Less than $9/10$ but more than $0$. $0$ $1$
makhdoom ghaya
asked
in
Probability
Oct 30, 2015
by
makhdoom ghaya
2.9k
views
tifr2012
probability
conditional-probability
20
votes
11
answers
189
TIFR CSE 2012 | Part A | Question: 1
Amar and Akbar both tell the truth with probability $\dfrac{3 } {4}$ and lie with probability $\dfrac{1}{4}$. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What ... $\left(\dfrac{7}{16}\right)$ $\left(\dfrac{10}{16}\right)$ None of the above
makhdoom ghaya
asked
in
Probability
Oct 25, 2015
by
makhdoom ghaya
9.4k
views
tifr2012
probability
conditional-probability
23
votes
3
answers
190
TIFR CSE 2011 | Part A | Question: 9
You have to play three games with opponents $A$ and $B$ in a specified sequence. You win the series if you win two consecutive games. $A$ is a stronger player than $B$. Which sequence maximizes your chance of winning the series? $AAB$ $ABA$ $BAB$ $BAA$ All are the same.
makhdoom ghaya
asked
in
Probability
Oct 17, 2015
by
makhdoom ghaya
2.1k
views
tifr2011
probability
conditional-probability
32
votes
6
answers
191
TIFR CSE 2010 | Part A | Question: 19, TIFR CSE 2014 | Part A | Question: 6
Karan tells truth with probability $\dfrac{1}{3}$ and lies with probability $\dfrac{2}{3}.$ Independently, Arjun tells truth with probability $\dfrac{3}{4}$ and lies with probability $\dfrac{1}{4}.$ Both watch a cricket match. Arjun tells ... $\left(\dfrac{5}{6}\right)$ $\left(\dfrac{6}{7}\right)$
makhdoom ghaya
asked
in
Probability
Oct 4, 2015
by
makhdoom ghaya
6.0k
views
tifr2010
probability
conditional-probability
tifr2014
7
votes
2
answers
192
TIFR CSE 2010 | Part A | Question: 10
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability that they will be of the same colour? $\left(\dfrac{2}{7}\right)$ $\left(\dfrac{2}{5}\right)$ $\left(\dfrac{3}{7}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{3}{5}\right)$
Arjun
asked
in
Probability
Oct 3, 2015
by
Arjun
2.1k
views
tifr2010
probability
conditional-probability
1
vote
3
answers
193
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?
Pooja Palod
asked
in
Probability
Sep 9, 2015
by
Pooja Palod
881
views
conditional-probability
44
votes
4
answers
194
GATE IT 2006 | Question: 1
In a certain town, the probability that it will rain in the afternoon is known to be $0.6$. Moreover, meteorological data indicates that if the temperature at noon is less than or equal to $25°C$, the probability that it will rain in the afternoon is $0.4$. The temperature ... in the afternoon on a day when the temperature at noon is above $25°C$? $0.4$ $0.6$ $0.8$ $0.9$
Ishrat Jahan
asked
in
Probability
Oct 30, 2014
by
Ishrat Jahan
7.2k
views
gateit-2006
probability
normal
conditional-probability
25
votes
8
answers
195
GATE CSE 1994 | Question: 2.6
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 _____________
Kathleen
asked
in
Probability
Oct 4, 2014
by
Kathleen
4.5k
views
gate1994
probability
normal
conditional-probability
fill-in-the-blanks
35
votes
6
answers
196
GATE CSE 1994 | Question: 1.4, ISRO2017-2
Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE? $P (A \cap B) = P(A)P(B)$ $P (A \cup B) = P(A)+P(B)$ $P (A \mid B) = P(A \cap B)P(B)$ $P (A \cup B) \leq P(A) + P(B)$
Kathleen
asked
in
Probability
Oct 4, 2014
by
Kathleen
13.8k
views
gate1994
probability
conditional-probability
normal
isro2017
23
votes
1
answer
197
GATE CSE 2012 | Question: 63
An automobile plant contracted to buy shock absorbers from two suppliers $ X$ and $ Y$ . $ X$ supplies $60\%$ and Y supplies $40\%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. ... shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
gatecse
asked
in
Quantitative Aptitude
Sep 29, 2014
by
gatecse
5.1k
views
gatecse-2012
quantitative-aptitude
probability
normal
conditional-probability
27
votes
4
answers
198
GATE CSE 2011 | Question: 3
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? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{2}{3}\right)$
go_editor
asked
in
Probability
Sep 29, 2014
by
go_editor
8.4k
views
gatecse-2011
probability
easy
conditional-probability
85
votes
16
answers
199
GATE CSE 2012 | Question: 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 $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$
gatecse
asked
in
Probability
Sep 26, 2014
by
gatecse
22.0k
views
gatecse-2012
probability
conditional-probability
normal
21
votes
9
answers
200
GATE CSE 2005 | Question: 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 probabilities ... that it came from the box $P$ is: $\dfrac{4}{19}$ $\dfrac{5}{19}$ $\dfrac{2}{9}$ $\dfrac{19}{30}$
gatecse
asked
in
Probability
Sep 21, 2014
by
gatecse
5.9k
views
gatecse-2005
probability
conditional-probability
normal
42
votes
10
answers
201
GATE CSE 2003 | Question: 3
Let $P(E)$ denote the probability of the event $E$. Given $P(A) = 1$, $P(B) =\dfrac{1}{2}$, the values of $P(A\mid B)$ and $P(B\mid A)$ respectively are $\left(\dfrac{1}{4}\right),\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{2}\right),\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{2}\right),{1}$ ${1},\left(\dfrac{1}{2}\right)$
Kathleen
asked
in
Probability
Sep 16, 2014
by
Kathleen
11.7k
views
gatecse-2003
probability
easy
conditional-probability
75
votes
11
answers
202
GATE CSE 2009 | Question: 21
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is even. The probability of getting any even numbered face is the same. If the ... following options is closest to the probability that the face value exceeds $3$? $0.453$ $0.468$ $0.485$ $0.492$
gatecse
asked
in
Probability
Sep 15, 2014
by
gatecse
16.3k
views
gatecse-2009
probability
normal
conditional-probability
37
votes
8
answers
203
GATE CSE 2008 | Question: 27
Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that she studies mathematics the next day is $0.6$. If she studies mathematics on a day, then the probability that she studies computer ... what is the probability that she studies computer science on Wednesday? $0.24$ $0.36$ $0.4$ $0.6$
Kathleen
asked
in
Probability
Sep 11, 2014
by
Kathleen
7.6k
views
gatecse-2008
probability
normal
conditional-probability
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