GATE Exam | Aptitude Questions | GATE Syllabus | GATE Result | Mock Test | GATE Preparation
Best Answer to Any Question
Toggle navigation
GATE FORUM
Email or Username
Password
Remember
Login
Register
|
I forgot my password
Ask a Question
Submit Question
Recent questions in Probability
Ask a question:
0
votes
1
answer
probability that the sum of the two numbers equals
Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?
asked
in
Probability
by
gate
0
votes
0
answers
events in a probability space satisfying the following constraints
E1 and E2 are events in a probability space satisfying the following constraints: Pr(E1) = Pr(E2) Pr(EI U E2) = 1 E1 and E2 are independent The value of Pr(E1), the probability of the event E1 is A 0 B 1/4 C 1/2 D 1
asked
in
Probability
by
gate
0
votes
1
answer
probability that they all occurred on the same day
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day? A 1/77 B 1/76 C 1/27 D 7/27
asked
in
Probability
by
gate
0
votes
1
answer
probability that at least one head and one tail turn up
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is
asked
in
Probability
by
gate
0
votes
1
answer
probability of the event
Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = 1/2, the values of P(A | B) and P(B | A) respectively are A 1/4, 1/2 B 1/2, 1/14 C 1/2, 1 D 1, 1/2
asked
in
Probability
by
gate
0
votes
1
answer
sum total of the expected marks obtained by all these students is
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probablity. The sum total of the expected marks obtained by all these students is:
asked
in
Probability
by
gate
0
votes
1
answer
probability that two heads and two tails will result
If a fair coin is tossed four times. What is the probability that two heads and two tails will result?
asked
in
Probability
by
gate
0
votes
1
answer
maximum value of P(A)P(B)
Let S be the sample space and two mutually exclusive events A and B be such that A U B = S. If P(.) denotes the probability of the event. The maximum value of P(A)P(B) is ______
asked
in
Probability
by
gate
0
votes
1
answer
probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is
The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is ______
asked
in
Probability
by
gate
0
votes
0
answers
expected length of the word drawn is
Each of the nine words in the sentence ”The quick brown fox jumps over the lazy dog” is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _____________.
asked
in
Probability
by
gate
0
votes
1
answer
six-sided dice are rolled. The probability that the sum being 22 is X/1296. The value of X
Four fair six-sided dice are rolled. The probability that the sum being 22 is X/1296. The value of X is ________
asked
in
Probability
by
gate
0
votes
1
answer
expected value of the smallest number in sample
We are given a set X = {x1, .... xn} where xi = 2i. A sample S ⊆ X is drawn by selecting each xi independently with probability p1 = 1/2. The expected value of the smallest number in sample S is: A 1/n B 2 C sqrt(n) D n
asked
in
Probability
by
gate
0
votes
1
answer
probability that 2 appears at an earlier position than any other even number in the selected permutation
Suppose we uniformly and randomly select a permutation from the 20! Permutations of 1, 2, 3 ,…..,20. What is the probability that 2 appears at an earlier position than any other even number in the selected permutation? A 1/2 B 1/10 C 9!/10! D Node of the above
asked
in
Probability
by
gate
0
votes
0
answers
random variable following normal distribution with mean +1 and variance
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 <=-1) = P(Y >-2). the standard deviation of Y is
asked
in
Probability
by
gate
0
votes
0
answers
probability that she studies computer science on Wednesday
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 science the next day is 0.4. Given that Aishwarya studies computer science on Monday, what is the probability that she studies computer science on Wednesday?
asked
in
Probability
by
gate
0
votes
1
answer
probability that the face value exceeds
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 probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?
asked
in
Probability
by
gate
0
votes
1
answer
probability that divisor of 1099 is a multiple of 1096
What is the probability that divisor of 1099 is a multiple of 1096?
asked
in
Probability
by
gate
0
votes
1
answer
probability of a computer being declared faulty
Consider a company that assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process.This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty? A pq + (1 - p)(1 - q) B (1 - q) p C (1 - p) q D pq
asked
in
Probability
by
gate
0
votes
1
answer
Two cards are then removed one at time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card? A 1/5 B 4/25 C 1/4 D 2/5
asked
in
Probability
by
gate
0
votes
1
answer
Which one of the following statements is INCORRECT
Consider a finite sequence of random values X = { x1, x2,..., xn}. Let μx be the mean and σx be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as yi = a*xi + b, where a and b are positive constants. Let μy be the mean and σy be the standard deviation of this sequence. Which one of the following statements is INCORRECT? A Index position of mode of X in X is the same as the index position of mode of Y in Y. B Index position of median of X in X is the same as the index position of median of Y in Y. C μy = aμx+b D σy = aσx+b
asked
in
Probability
by
gate
Page:
1
2
next »
The best answer to any question
All categories
Computer Science & Information Technology
452
Mathematics
80
Mathematics
1
Linear Algebra
10
Calculus
3
Probability
26
Discrete Mathematics
36
Engineering Mathematics
0
Differential equations
0
Complex variables
0
Numerical Methods
4
Vector Analysis
0
Complex Analysis
0
Transform Theory
0
Aptitude Questions
114
GATE
94
Online Aptitude Test
6
Gate Exam
22
Gate Syllabus
6
Gate Preparation
35
Gate Coaching
14
Online Registration
20
Electronics and Communication (EC)
0
Electrical Engineering (EE)
3
Civil Engineering (CE)
0
Mechanical Engineering (ME)
2
Aerospace Engineering (AE)
0
Agricultural Engineering (AG)
0
Architecture and Planning (AR)
0
Biotechnology (BT)
0
Chemical Engineering (CH)
1
Chemistry (CY)
0
Ecology and Evolution (EY)
0
Geology and Geophysics (GG)
0
Instrumentation Engineering (IN)
0
Mining Engineering (MN)
0
Metallurgical Engineering (MT)
0
Petroleum Engineering (PE)
0
Physics (PH)
0
Production and Industrial Engineering (PI)
1
Textile Engineering and Fibre Science (TF)
0
Engineering Sciences
1
Life Sciences
2
Mathematics (MA)
0
Recent questions in Probability