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Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
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Recent questions tagged probability
Webpage for Probability
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1
Sheldon Ross Chapter2 Question15b
If it is assumed that all $\binom{52}{5}$ poker hands are equally likely, what is the probability of being dealt two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.) my approach is: selecting a ... I'm getting answer 0.095 but in the book answer is given 0.0475 where am I going wrong?
asked
Jun 14
in
Probability
by
aditi19
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4.9k
points)

122
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probability
sheldonross
engineeringmathematics
0
votes
1
answer
2
Sheldon Ross Example5n
Compute the probability that if 10 married couples are seated at random at a round table, then no wife sits next to her husband 1 wife sits next to her husband. pick one of the 10 couples=$\binom{10}{1}$. These couples can interchange their position such that ... sits together=$\frac{N}{19!}$ so probability that no couple sits together=$1\frac{N}{19!}$ is this correct?
asked
Jun 11
in
Probability
by
aditi19
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4.9k
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157
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permutationandcombination
probability
discretemathematics
sheldonross
+2
votes
1
answer
3
Mathematics: GATE2017 EC222
Consider the random process: $X\left ( t \right )=U+Vt$ where $U$ is zeromean Gaussian random variable and $V$ is a random variable uniformly distributed between $0$ and $2.$ Assume $U$ and $V$ statistically independent. The mean value of random process at $t=2$ is ___________
asked
Jun 3
in
Probability
by
srestha
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116k
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119
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gate2017ec2
probability
+1
vote
0
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4
Descrete Mathematic ACE Text Book Practice Question #16
A women's health clinic has four doctors and each patient is assigned to one of them. If a patient givs birth btween 8 am and 4 pm, then her chance of being attended by her assigned doctor is 3/4, otherwise it is 1/4. What is the probability that ... is attended by the assigned doctor when she gives birth? (A) 25/144 (B) 5/12 (C) 7/12 (D) 1/12
asked
May 30
in
Mathematical Logic
by
JAYKISHAN
(
95
points)

69
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probability
acebooklet
+1
vote
1
answer
5
Sheldon Ross, Chapter# 4 RANDOM VARIABLES, Q.51 (9th edition page#167)
If a student copies his assignments from his friend he would get 80 marks. If he had done the assignments independently he would have scored 50 marks out of 100 and if the teacher finds he is cheating he ... , what is the probability that he will lose more marks with copying than by doing his independent work independently?
asked
May 28
in
Probability
by
Asim Siddiqui 4
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1.2k
points)

139
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probability
sheldonross
randomvariable
0
votes
1
answer
6
Probability question of CLRS
In a restaurant each of $n$ customer gives a hat to the hat check person. The hat check person gives the hat back to the customer in a random order. What is expected number of customer who get back their own hat?
asked
May 27
in
Probability
by
srestha
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116k
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108
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algorithms
probability
0
votes
1
answer
7
A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
asked
May 27
in
Probability
by
Asim Siddiqui 4
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1.2k
points)

76
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probability
sheldonross
randomvariable
+1
vote
1
answer
8
Sheldon Ross, Chapter #4, Question #13
An airline operates a flight having 50 seats. As they expect some passenger to not show up, they overbook the flight by selling 51 tickets. The probability that an individual passenger will not show up is 0.01, independent of all other ... the airline has to pay a compensation of Rs.1lakh to that passenger. What is the expected revenue of the airline?
asked
May 21
in
Probability
by
Asim Siddiqui 4
Active
(
1.2k
points)

70
views
probability
randomvariable
sheldonross
+1
vote
2
answers
9
GATE2017 CE2: GA5
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 $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
asked
May 18
in
Numerical Ability
by
Lakshman Patel RJIT
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51.5k
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83
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gate2017ce2
numericalability
probability
0
votes
2
answers
10
#probability(self doubt)
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective car is??
asked
May 13
in
Combinatory
by
G Shaheena
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1.1k
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43
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probability
0
votes
1
answer
11
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11
in
Probability
by
akash.dinkar12
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(
41.7k
points)

93
views
isi2018mma
engineeringmathematics
probability
0
votes
2
answers
12
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11
in
Probability
by
akash.dinkar12
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(
41.7k
points)

41
views
isi2018mma
engineeringmathematics
probability
0
votes
2
answers
13
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
41.7k
points)

53
views
isi2018mma
engineeringmathematics
probability
0
votes
1
answer
14
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
41.7k
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48
views
isi2018mma
engineeringmathematics
probability
0
votes
1
answer
15
A first course in probability by Sheldon Ross
What are the relevant chapter of probability by sheldon ross to study for gate? I think whole syllabus is within chapter 5,Should i study everything upto chapter 5 or there are some topics that can be skipped.
asked
May 8
in
Combinatory
by
souren
(
37
points)

58
views
probability
sheldonross
0
votes
3
answers
16
ISI2019MMA22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
asked
May 7
in
Probability
by
Sayan Bose
Loyal
(
7.1k
points)

138
views
isi2019mma
probability
0
votes
1
answer
17
ISI2019MMA10
The chance of a student getting admitted to colleges $A$ and $B$ are $60\%$ and $40\%$, respectively. Assume that the colleges admit students independently. If the student is told that he has been admitted to at least one of these colleges, what is the probability that he has got admitted to college $A$? $3/5$ $5/7$ $10/13$ $15/19$
asked
May 6
in
Probability
by
Sayan Bose
Loyal
(
7.1k
points)

142
views
isi2019mma
engineeringmathematics
discretemathematics
probability
+1
vote
2
answers
18
Gate 2018: Probability
In a box, there are $2$ red, $3$ black and $4$ blue coloured balls. The probability of drawing $2$ blue balls in sequence without replacing, and then drawing $1$ black ball from this box is _________ %.
asked
May 1
in
Probability
by
akash.dinkar12
Boss
(
41.7k
points)

142
views
usergate2018
probability
normal
0
votes
1
answer
19
CMI Data Science 2018 (Probability)
asked
Apr 14
in
Probability
by
Sayan Bose
Loyal
(
7.1k
points)

118
views
usercmi2018
probability
0
votes
0
answers
20
PGCET2010CS
The expected value of a probability function, when probability is measured on a scale of 0 to 1, coincides with it's (a) Mean (b) Variance (c) Standard deviation (d) None of them
asked
Apr 9
in
Probability
by
Prajna
(
205
points)

42
views
probability
0
votes
0
answers
21
SHELDON AND ROSS
Twelve percent of all US households are in California. A total of 3.3 percent of all US households earn over 250000 per year, while a total of 6.3 percent California households earn over 250000 per year. If a randomly chosen US household earns over 250,000 per year, ... 10^(3)/(0.033)=0.2291 But the answer given in the instructors manual is .2066 What is wrong with my logic??
asked
Mar 22
in
Probability
by
Doraemon
(
499
points)

42
views
probability
sheldonross
0
votes
0
answers
22
Andrew S. Tanenbaum Edition 5th Exercise 3 Question 13 (Page No. 252)
A block of bits with n rows and k columns uses horizontal and vertical parity bits for error detection. Suppose that exactly 4 bits are inverted due to transmission errors. Derive an expression for the probability that the error will be undetected.
asked
Mar 16
in
Computer Networks
by
ajaysoni1924
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10.5k
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18
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computernetworks
datalinklayer
errordetection
tanenbaum
probability
0
votes
2
answers
23
Probability  Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
asked
Mar 8
in
Probability
by
zeeshanmohnavi
Junior
(
905
points)

72
views
probability
engineeringmathematics
+1
vote
0
answers
24
Hashing
Consider an open address hash table with uniform hashing. Out of 10 locations, 8 are occupied. What are the expected number of probes in an unsuccessful and successful search respectively?
asked
Mar 6
in
Algorithms
by
s_dr_13
(
161
points)

130
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hashing
datastructure
uniformhashing
probability
0
votes
0
answers
25
Discrete random variable
asked
Feb 20
in
Probability
by
Na462
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6.8k
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87
views
probability
randomvariable
engineeringmathematics
0
votes
0
answers
26
Central limit theorem
(Central Limit Theorem) Let X1, X2, . . . , X81 be i.i.d., each with expected value µ = E(Xi) = 5, and variance σ2 = Var(Xi) = 4. Approximate P(X1 + X2 +· · · X81 > 369), using the central limit theorem.
asked
Feb 19
in
Probability
by
Na462
Loyal
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6.8k
points)

35
views
probability
0
votes
3
answers
27
Grewal
Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________
asked
Feb 19
in
Probability
by
srestha
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116k
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132
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probability
+1
vote
0
answers
28
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
asked
Feb 19
in
Probability
by
Na462
Loyal
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6.8k
points)

25
views
engineeringmathematics
probability
0
votes
0
answers
29
Expectation
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
asked
Feb 19
in
Probability
by
Na462
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6.8k
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65
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#probability#expectation
probability
0
votes
1
answer
30
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
asked
Feb 18
in
Probability
by
Na462
Loyal
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6.8k
points)

273
views
conditionalprobability
probability
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