Recent questions tagged probability - GATE CSE Doubts

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TIFR-2019 probabilty
consider an urn with ‘a’ red and ‘b’ blue ball . Balls are drawn out one by one without replacement uniformly at random until the first red ball is drawn .what is expected no of ball drawn?

asked Mar 25 in Probability by sridhar15399 (5 points) | 5 views

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TIFR-GS2021 Question
Lavanya and Ketak each flip a fair coin (i.e., both heads and tails have equal probability of appearing) $n$ times. What is the probability that Lavanya sees more heads than Ketak? In the following, the binomial conefficient $n\choose k$ counts the number of $k$-element subsets of an $n$-element ... $\sum_{i=0}^{n}\frac{{n\choose i}}{2^{2n}}$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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TIFR-GS2021 Question
A matching in a graph is a set of edges such that no two edges in the set share a common vertex. Let $G$ be a graph on $n$ vertices in which there is a subset $M$ of $m$ ... $p^{2m}$ (D) $(1 - p^2)^m$ (E) $1 - (1 - p(1 - p))^m$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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TIFR-GS2021Question
What is the probability that at least two out of four people have their birthdays in the same month, assuming their birthdays are uniformly distributed over the twelve months? (A) $\frac{25}{48}$ (B) $\frac{5}{8}$ (C) $\frac{5}{12}$ (D) $\frac{41}{96}$ (E) $\frac{55}{96}$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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East Africa University Second Semester Probability and statistics 2020

asked Mar 7 in Revision by vanso 254 (5 points) | 24 views

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Which books should i refer for learning distributions in probability?

asked Mar 4 in Probability by kaleen bhaiya (9 points) | 14 views

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DRDO 2020 computer science descriptive exam
Consider a binomial experiment of flipping a biased coin five times with probability of head ,p=0.75 and probability of tail q=0.25 in each flip. What is the probability that last two flips will be heads if the first three flips are known to be tails ?

asked Feb 25 in Probability by rapidxy (9 points) | 25 views

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Made easy postal course
A bag contains 5 black, 2 red and 3 white marbles. Three marbles are drawn simultaneously. The probability that the drawn marbles are of the different color is ?

asked Jan 19 in Probability by dilip2812 (7 points) | 22 views

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Probablity engineering mathematics
A box contains 10 apples out of which 4 are rotten. Two apples are taken out together if one of them is good what is the probablity that the other one is also good. Note: Please don’t use ‘C’ combination terms in your answer rather try to make it as clear as possible.

asked Jan 17 in Mathematical Logic by donniedarko (39 points) | 31 views

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Previous year question
In this previous year question https://gateoverflow.in/179371/, can someone PLEASE explain why is it wrong to say that if i have probability of success = $\frac{1}{26^{10}}$ ... ? Please give a proper reason like, the reason why we can't say the answer is B is because checking is a dependent event.

asked Jan 9 in Probability by reboot (5 points) | 30 views

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What is the actual formula for the efficiency in CSMA/CD?

asked Dec 8, 2020 in Computer Networks by HitechGa (9 points) | 41 views

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Probability NCERT Book Doubt
The probability of number of defectives in a lot is 35%. There are 4 items taken out with replacement. Find the probability that none of the items are defective?

asked Nov 30, 2020 in Probability by Dheera (-14 points) | 36 views

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Probability Binomial Distribution NCERT Doubt
In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6 . What is the probability that he will knock down fewer than 2 hurdles?

asked Nov 30, 2020 in Probability by Dheera (-14 points) | 28 views

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Probability ncert doubt
Find the probability that at most 2 heads and at most 2 tails occur when 4 coins are tossed simultaneously?

asked Nov 29, 2020 in Probability by Dheera (-14 points) | 47 views

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Bayes Theorem self doubt
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.

asked Nov 27, 2020 in Probability by Dheera (-14 points) | 20 views

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TIFR 2020 From System Science
Balls are drawn one after the other uniformly at random without replacement from a set of eight balls numbered 1,2,...,8 until all balls drawn what is expected number of balls whose value matched their ordinality (i.e their position in the order in which ... that the i-th ball is drawn at the i-th draw ? now can you use linearity of expectation to solve the problem

asked Nov 26, 2020 in Probability by Dhruvil (11 points) | 30 views

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Probability # Self doubt # GO test
How to solve this calculation step by step ? Ans is 99.56%.

asked Oct 22, 2020 in Mathematical Logic by Sharma9999999 (5 points) | 20 views

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Exponential Distribution (probability) - self doubts

asked Sep 21, 2020 in Probability by Dipankar Giri (5 points) | 17 views

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Uniform Distribution (Probability)-Self doubts
What is Uniform Distribution in Probability?? Please discuss it with example!!! Thank you!!!

asked Sep 21, 2020 in Probability by Dipankar Giri (5 points) | 14 views

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Gravner Probability Exercise

asked Sep 7, 2020 in Probability by Mellophi (363 points) | 52 views

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probability basic
In a family with 4 children, what is the probability of a 2:2 boy-girl split?

asked Aug 20, 2020 in Probability by akshita_jain (17 points) | 245 views

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Combinatorics and Probability
Six people, including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "B is between A and C in the queue". What is its probability? (The order of A and C can be arbitrary, but B should be between them).

asked Aug 5, 2020 in Probability by aryashah2k (2 points) | 35 views

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Combinatorics and Probability
Six people including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "A precedes B in the queue". (Again this event does not mention C or other people in the queue. It happens when A is ... not require that B is the next after A, some people could be between A and B.) What is the probability of this event?

asked Aug 5, 2020 in Probability by aryashah2k (2 points) | 323 views

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TCS MockVita 2020 , Lazy Student
There is a test of Algorithms. Teacher provides a question bank consisting of N questions and guarantees all the questions in the test will be from this question bank. Due to lack of time and his laziness, Codu could only practice M questions. There ... problems. Codu can't solve the question he didn't practice. What is the probability that Codu will pass the test?

asked Jul 2, 2020 in Probability by pravincesingh (5 points) | 143 views

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PROBABILTY AND DISTRIBUTIONS
A elevator manufacturing company believes that 'X' is the amount of that can elevator withstand without any damage with is mean 100 and standard deviation 10. This elevator is used to lift the company staff persons with mean 5 and standard deviation 0.5. How many staff person would have to be in the elevator for the probability of No damage exceeds to 0.85.

asked Jun 30, 2020 in Mathematical Logic by Stanfordboi (5 points) | 14 views

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What are the relevant chapter in Gravner for Probability ?

asked Jun 26, 2020 in Probability by Raj_81 (23 points) | 17 views

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#self doubt why is the method wrong to solve the problem

asked Jun 12, 2020 in Probability by abhijeet at (9 points) | 23 views

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2 answers

#A First Course In Probability Sheldon Ross #self_doubt

asked May 21, 2020 in Probability by Neelam_$ingh_222 (5 points) | 25 views

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A first course in probability by Ross
A basketball team consists of 6 frontcourt and 4 backcourt players. If players are divided into roommates at random, what is the probability that there will be exactly two roommate pairs made up of a backcourt and a frontcourt player?

asked May 21, 2020 in Probability by Neelam_$ingh_222 (5 points) | 81 views

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A first course in probability
Let A denote the event that the midtown temperature in Los Angeles is 70◦F, and let B denote the event that the midtown temperature in New York is 70◦F. Also, let C denote the event that the maximum of the midtown temperatures in New York and in Los Angeles is ... ,P(B) = .4, and P(C) = .2, find the probability that the minimum of the two midtown temperatures is 70◦F.

asked May 21, 2020 in Probability by Neelam_$ingh_222 (5 points) | 49 views

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GATE2012-33 Video Solution
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 $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$

asked Apr 18, 2020 in Probability by admin (573 points) | 9 views

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GATE2012 CY: GA-7 Video Solution
$A$ 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 $1/4$ $1/16$ $7/16$ $9/16$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 7 views

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GATE2007-IT-58 Video Solution
A demand paging system takes $100$ time units to service a page fault and $300$ time units to replace a dirty page. Memory access time is $1$ time unit. The probability of a page fault is $p$ ... the average access time is $3$ time units. Then the value of $p$ is $0.194$ $0.233$ $0.514$ $0.981$

asked Apr 18, 2020 in Operating System by admin (573 points) | 13 views

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GATE2007-IT-28 Video Solution
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 $0.5$. $5$ $6$ $7$ $10$

asked Apr 18, 2020 in DS by admin (573 points) | 12 views

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GATE2017-1-19 Video Solution
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 ______________ .

asked Apr 18, 2020 in Probability by admin (573 points) | 10 views

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GATE2014-1-2 Video Solution
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .

asked Apr 18, 2020 in Probability by admin (573 points) | 7 views

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GATE2019-22 Video Solution
Two numbers are chosen independently and uniformly at random from the set $\{1,2,\ldots,13\}.$ The probability (rounded off to 3 decimal places) that their $4-bit$ (unsigned) binary representations have the same most significant bit is _______________.

asked Apr 18, 2020 in Digital Logic by admin (573 points) | 8 views

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GATE2005-IT-32 Video Solution
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 $3$ $4$ $5$ $6$

asked Apr 18, 2020 in Probability by admin (573 points) | 7 views

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GATE2014-3-40 Video Solution
Consider a hash table with $100$ slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first $3$ slots are unfilled after the first $3$ insertions? $(97 \times 97 \times 97) / 100^3$ $(99 \times 98 \times 97) / 100^3$ $(97 \times 96 \times 95) / 100^3$ $(97 \times 96 \times 95 / (3! \times 100^3)$

asked Apr 18, 2020 in DS by admin (573 points) | 8 views

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GATE1994-1.4, ISRO2017-2 Video Solution
Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE? $P (A \cap B) = P(A)P(B)$ $P (A \cup B) = P(A)+P(B)$ $P (A \mid B) = P(A \cap B)P(B)$ $P (A \cup B) \leq P(A) + P(B)$

asked Apr 18, 2020 in Probability by admin (573 points) | 13 views

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