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Search results for probability
6
votes
1
answer
1
GATE Electrical 2022 | GA Question: 5
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -1$, $2 -2$ or $3 -3$ chosen uniformly at random. What is the probability that the ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -...
Arjun
775
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
probability
+
–
1
votes
1
answer
2
GATE Electrical 2022 | GA Question: 7
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of...
Arjun
695
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gate2022-ee
quantitative-aptitude
probability
+
–
72
votes
8
answers
3
GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is$3...
Ishrat Jahan
30.2k
views
Ishrat Jahan
asked
Nov 3, 2014
Probability
gateit-2005
probability
binomial-distribution
expectation
normal
+
–
85
votes
16
answers
4
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 $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$
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 val...
gatecse
21.8k
views
gatecse
asked
Sep 26, 2014
Probability
gatecse-2012
probability
conditional-probability
normal
+
–
33
votes
4
answers
5
GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
Arjun
16.1k
views
Arjun
asked
Feb 7, 2019
Probability
gatecse-2019
numerical-answers
engineering-mathematics
probability
uniform-distribution
2-marks
+
–
61
votes
6
answers
6
GATE CSE 2013 | Question: 24
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\dfrac{1}{2}.$ What is the expected number of unordered cycles of length three? $\dfrac {1}{8}$ $1$ $7$ $8$
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\dfrac{1}{2}.$ What is the expected number of ...
Arjun
19.7k
views
Arjun
asked
Sep 24, 2014
Probability
gatecse-2013
probability
expectation
normal
+
–
75
votes
11
answers
7
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 $3$? $0.453$ $0.468$ $0.485$ $0.492$
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 ev...
gatecse
16.2k
views
gatecse
asked
Sep 15, 2014
Probability
gatecse-2009
probability
normal
conditional-probability
+
–
49
votes
7
answers
8
GATE CSE 2017 Set 2 | Question: 31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain ... . The expectation of $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone
For any discrete random variable $X$, with probability mass function$P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomi...
Arjun
15.9k
views
Arjun
asked
Feb 14, 2017
Probability
gatecse-2017-set2
probability
random-variable
difficult
+
–
40
votes
4
answers
9
GATE CSE 2018 | Question: 44
Consider Guwahati, $(G)$ and Delhi $(D)$ whose temperatures can be classified as high $(H)$, medium $(M)$ and low $(L)$. Let $P(H_G)$ denote the probability that Guwahati has high temperature. Similarly, $P(M_G)$ ... , then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is ________.
Consider Guwahati, $(G)$ and Delhi $(D)$ whose temperatures can be classified as high $(H)$, medium $(M)$ and low $(L)$. Let $P(H_G)$ denote the probability that Guwahati...
gatecse
13.6k
views
gatecse
asked
Feb 14, 2018
Probability
gatecse-2018
probability
conditional-probability
numerical-answers
2-marks
+
–
48
votes
5
answers
10
GATE CSE 2017 Set 1 | Question: 19
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $\max\left ( X,0 \right )$ where $\max\left ( a,b \right )$ is the maximum of $a$ and $b$. The median of $Y$ is ______________ .
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $\max\left ( X,0 \right )$ where $\max\left ( a,b \right )$ is the maximum of $a$ ...
Arjun
20.4k
views
Arjun
asked
Feb 14, 2017
Probability
gatecse-2017-set1
probability
numerical-answers
normal-distribution
+
–
62
votes
11
answers
11
GATE IT 2007 | Question: 28
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collides with an existing one exceed $0.5$. $5$ $6$ $7$ $10$
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collide...
Ishrat Jahan
29.0k
views
Ishrat Jahan
asked
Oct 29, 2014
DS
gateit-2007
data-structures
hashing
probability
normal
+
–
31
votes
8
answers
12
GATE2012 CY: GA-7
$A$ and $B$ are friends. They decide to meet between 1:00 pm and 2:00 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 $1/4$ $1/16$ $7/16$ $9/16$
$A$ and $B$ are friends. They decide to meet between 1:00 pm and 2:00 pm on a given day. There is a condition that whoever arrives first will not wait for the other for m...
Arjun
17.0k
views
Arjun
asked
Nov 15, 2014
Quantitative Aptitude
gate2012-cy
quantitative-aptitude
probability
+
–
30
votes
6
answers
13
GATE CSE 2018 | Question: GA-10
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment? Three green faces and four red faces. Four green faces and three red faces. Five green faces and two red faces. Six green faces and one red face
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?T...
gatecse
14.7k
views
gatecse
asked
Feb 14, 2018
Quantitative Aptitude
gatecse-2018
quantitative-aptitude
probability
normal
2-marks
+
–
52
votes
3
answers
14
GATE CSE 2008 | Question: 29
Let $X$ be a random variable following normal distribution with mean $+1$ and variance $4$. Let $Y$ be another normal variable with mean $-1$ and variance unknown. If $P (X \leq -1) = P (Y \geq 2)$ , the standard deviation of $Y$ is $3$ $2$ $\sqrt{2}$ $1$
Let $X$ be a random variable following normal distribution with mean $+1$ and variance $4$. Let $Y$ be another normal variable with mean $-1$ and variance unknown. If $P ...
Kathleen
23.5k
views
Kathleen
asked
Sep 11, 2014
Probability
gatecse-2008
random-variable
normal-distribution
probability
normal
+
–
14
votes
3
answers
15
Hash table
A Hash table has space for 100 records. Then the probability of collision before the table is 10% full is? A 0.45 B 0.5 C 0.3 D 0.34 (approximately)
A Hash table has space for 100 records. Then the probability of collision before the table is 10% full is?A 0.45B 0.5C 0.3D 0.34 (approximately)
Soumyashree
15.4k
views
Soumyashree
asked
Nov 21, 2015
Algorithms
hashing
probability
+
–
61
votes
3
answers
16
GATE CSE 2014 Set 1 | Question: 2
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
Arjun
17.3k
views
Arjun
asked
Sep 26, 2014
Probability
gatecse-2014-set1
probability
uniform-distribution
expectation
numerical-answers
normal
+
–
63
votes
6
answers
17
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
12.3k
views
Arjun
asked
Feb 14, 2017
Probability
gatecse-2017-set2
probability
conditional-probability
+
–
56
votes
3
answers
18
GATE CSE 2010 | Question: 27
What is the probability that divisor of $10^{99}$ is a multiple of $10^{96}$? $\left(\dfrac{1}{625}\right)$ $\left(\dfrac{4}{625}\right)$ $\left(\dfrac{12}{625}\right)$ $\left(\dfrac{16}{625}\right)$
What is the probability that divisor of $10^{99}$ is a multiple of $10^{96}$?$\left(\dfrac{1}{625}\right)$$\left(\dfrac{4}{625}\right)$$\left(\dfrac{12}{625}\right)$$\lef...
gatecse
13.5k
views
gatecse
asked
Sep 21, 2014
Probability
gatecse-2010
probability
normal
+
–
8
votes
4
answers
19
GATE CSE 2023 | Question: 43
Consider a random experiment where two fair coins are tossed. Let $A$ be the event that denotes $\text{HEAD}$ on both the throws, $B$ be the event that denotes $\text{HEAD}$ on the first throw, and $C$ be the event that denotes $\text{HEAD}$ on the ... . $A$ and $C$ are independent. $B$ and $C$ are independent. $\operatorname{Prob}(B \mid C)=\operatorname{Prob}(B)$
Consider a random experiment where two fair coins are tossed. Let $A$ be the event that denotes $\text{HEAD}$ on both the throws, $B$ be the event that denotes $\text{HEA...
admin
6.8k
views
admin
asked
Feb 15, 2023
Probability
gatecse-2023
probability
independent-events
multiple-selects
2-marks
+
–
15
votes
5
answers
20
GATE CSE 2020 | Question: 17
Let $\mathcal{R}$ be the set of all binary relations on the set $\{1,2,3\}$. Suppose a relation is chosen from $\mathcal{R}$ at random. The probability that the chosen relation is reflexive (round off to $3$ decimal places) is ______.
Let $\mathcal{R}$ be the set of all binary relations on the set $\{1,2,3\}$. Suppose a relation is chosen from $\mathcal{R}$ at random. The probability that the chosen re...
Arjun
9.1k
views
Arjun
asked
Feb 12, 2020
Set Theory & Algebra
gatecse-2020
numerical-answers
probability
relations
1-mark
+
–
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