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Recent questions tagged probability
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GATE IN 2022 | GA Question: 7
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered $1, 2, 3,4, 5, 6, 7$ or $8$ as shown. Two such disks are used in a game where their arrows are independently spun. What is the ... spinning the two disks is equal to 8 after the arrows come to rest? $\dfrac{1}{16}$ $\dfrac{5}{64}$ $\dfrac{3}{32}$ $\dfrac{7}{64}$
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
Lakshman Bhaiya
2.4k
points
Lakshman Bhaiya
asked
Mar 20, 2022
Quantitative Aptitude
gatein-2022
quantitative-aptitude
probability
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2
GATE IN 2021 | Question: 37
Consider that $\text{X}$ and $\text{Y}$ are independent continuous valued random variables with uniform $\text{PDF}$ given by $X\sim U\left ( 2,3 \right )$ and $Y\sim U\left ( 1,4 \right )$. Then $P\left ( Y\leq X \right )$ is equal to __________________ (rounded off to two decimal places).
Consider that $\text{X}$ and $\text{Y}$ are independent continuous valued random variables with uniform $\text{PDF}$ given by $X\sim U\left ( 2,3 \right )$ and $Y\sim U\l...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Probability and Statistics
gatein-2021
numerical-answers
probability-and-statistics
probability
probability-density-function
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0
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0
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3
GATE2020 IN: 32
Consider two identical bags $B1$ and $B2$ each containing $10$ balls of identical shapes and sizes. Bag $B1$ contains $7$ Red and $3$ Green balls, while bag $B2$ contains $3$ Red and $7$ Green balls. A bag is picked at random and a ball is drawn from it, which was found to be Red. The probability that the Red ball came from bag $B1$ $\text{(rounded off to one decimal place)}$ is ______.
Consider two identical bags $B1$ and $B2$ each containing $10$ balls of identical shapes and sizes. Bag $B1$ contains $7$ Red and $3$ Green balls, while bag $B2$ contains...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Probability and Statistics
gate2020-in
numerical-answers
probability-and-statistics
probability
conditional-probability
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0
votes
0
answers
4
GATE2020: 16
A player throws a ball at a basket kept at a distance. The probability that the ball falls into the basket in a single attempt is 0.1. The player attempts to throw the ball twice. Considering each attempt to be independent, the probability that this player puts the ball into the basket only in the second attempt $\text{(rounded off to two decimal places)}$ is __________
A player throws a ball at a basket kept at a distance. The probability that the ball falls into the basket in a single attempt is 0.1. The player attempts to throw the ba...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Probability and Statistics
gate2020-in
numerical-answers
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
answers
5
GATE2017: 60
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 2, 2020
Quantitative Aptitude
gate2017-in
numerical-ability
probability
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–
0
votes
0
answers
6
GATE2019 IN: 3
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is 4/15 7/16 ½ 8/15
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Probability and Statistics
gate2019-in
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
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7
GATE2019 IN: 27
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ > 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a probability density function, the value of A should be equal to $\mu$ – 1 $\mu$ + 1 1/($\mu$ – 1) 1/($\mu$ +1)
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a ...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Probability and Statistics
gate2019-in
probability-and-statistics
probability
probability-density-function
mean
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–
0
votes
0
answers
8
GATE2016-27
An urn contains $5$ red and $7$ green balls. A ball is drawn at random and its color is noted. The ball is placed back into the urn along with another ball of the same color. The probability of getting a red ball in the next draw is $\frac{65}{156}$ $\frac{67}{156}$ $\frac{79}{156}$ $\frac{89}{156}$
An urn contains $5$ red and $7$ green balls. A ball is drawn at random and its color is noted. The ball is placed back into the urn along with another ball of the same co...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2016-in
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
answers
9
GATE2015-10
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, which one of 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 ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2015-in
numerical-ability
probability
independent-events
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–
0
votes
0
answers
10
GATE2015-36
The probability that a thermistor randomly picked up from a production unit is defective is $0.1$. The probability that out of $10$ thermistors randomly picked up, $3$ are defective is 0.001 0.057 0.107 0.3
The probability that a thermistor randomly picked up from a production unit is defective is $0.1$. The probability that out of $10$ thermistors randomly picked up, $3$ ar...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2015-in
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
answers
11
GATE2015-37
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}$ is __________ .
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2015-in
numerical-answers
probability-and-statistics
probability
probability-density-function
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0
votes
0
answers
12
GATE2014-GA-4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrences of such earthquakes is ______years.
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrence...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2014-in
numerical-ability
probability
conditional-probability
numerical-answers
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–
0
votes
0
answers
13
GATE2014-GA-10
$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 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 $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2014-in
numerical-ability
probability
conditional-probability
numerical-answers
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–
0
votes
0
answers
14
GATE2014-2
Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________.
Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________....
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-in
numerical-answers
probability-and-statistics
probability
probability-density-function
+
–
0
votes
0
answers
15
GATE2013-64
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
probability
leap-year
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–
0
votes
0
answers
16
GATE2013-16
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$ $0.5$ $0.632$ $1.0$
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$$0.5$$0.632$$1.0$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2013-in
probability-and-statistics
probability
probability-density-function
random-variable
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–
0
votes
0
answers
17
GATE2012-63
$\text{A}$ and $\text{B}$ are friends. They decide to meet between $\text{1 PM}$ and $\text{2 PM}$ on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $\frac{1}{4}$ $\frac{1}{16}$ $\frac{7}{16}$ $\frac{9}{16}$
$\text{A}$ and $\text{B}$ are friends. They decide to meet between $\text{1 PM}$ and $\text{2 PM}$ on a given day. There is a condition that whoever arrives first will no...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
probability
conditional-probability
+
–
0
votes
0
answers
18
GATE2012-26
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is $1/3$ $1/2$ $2/3$ $3/4$
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is$1/3$$1/2$$2/3$$3/4$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-in
probability-and-statistics
probability
conditional-probability
+
–
0
votes
0
answers
19
GATE2012-3
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
Two independent random variables $\text{X}$ and $\text{Y}$ are uniformly distributed in the interval $[-1, 1]$. The probability that max$\text{[X, Y]}$ is less than $1/2$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-in
probability-and-statistics
probability
random-variable
uniform-distribution
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–
0
votes
0
answers
20
GATE2018IN: 27
Two bags A and B have equal number of balls. Bag A has 20% red balls and 80% green balls. Bag B has 30% red balls,60% green balls and 10% yellow balls. Contents of Bags A and B are mixed thoroughly and a ball is randomly picked from the mixture. What is the chance that the ball picked is red? 20% 25% 30% 40%
Two bags A and B have equal number of balls. Bag A has 20% red balls and 80% green balls. Bag B has 30% red balls,60% green balls and 10% yellow balls. Contents of Bags A...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
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–
0
votes
0
answers
21
GATE2018IN: 5
Consider a sequence of tossing of a fair coin where the outcomes of tosses are independent. The probability of getting the head for the third time in the fifth toss is $\frac{5}{16}$ $\frac{3}{16}$ $\frac{3}{5}$ $\frac{9}{16}$
Consider a sequence of tossing of a fair coin where the outcomes of tosses are independent. The probability of getting the head for the third time in the fifth toss is$\f...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
independent-events
+
–
0
votes
0
answers
22
GATE2018IN: 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is 0 1 2 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is0123
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
random-variable
variance
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