Recent questions and answers in Probability - GATE CSE Doubts

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Self Doubt: GATE FORUM FLT5
Can’t we solve it using $Binomial$ $theorem$ ${80}\choose{4}$ $*0.06^4 *$ $0.94^{76}$ $?$

asked 3 days ago in Probability by Debapaul (620 points) | 18 views

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ace booklet probability
an inefficient secretary places 5 different letters into 5 different addressed envelops at random.fnd the probability that at least one of the letters ill arrive at the proper destination. the answer mentioned is 19/30

answered 5 days ago in Probability by shashin (1.2k points) | 9 views

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probability question ace booklet
there are 27 students in a class.what is the prob that atleast 3 of them have their birthday in the same month? the solution suggested for the question the booklet says avg birthday prob = 27/12 =2.something so, according to pigeonhole principle, the required probability is 1. can someone please explain me this.

answered 5 days ago in Probability by shashin (1.2k points) | 12 views

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Conditional Probablity
Conditional probabilities Remark. In your answers to all three questions of this section, give an explanation as to why you believe your answer is correct. Marks will not be awarded for answers with numbers not accompanied by any explanation or ... that a student studies Computer Science, and the probability that the student is male provided that he studies Computer Science

asked Jan 11 in Probability by OBaid Alam (8 points) | 7 views

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Can you help me with these
2 Conditional probabilities Remark. In your answers to all three questions of this section, give an explanation as to why you believe your answer is correct. Marks will not be awarded for answers with numbers not accompanied by any explanation or ... that this student is male? 3. 10 marks. Infer the probability asked in the previous item using the Bayes formula.

asked Jan 10 in Probability by OBaid Alam (8 points) | 5 views

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Can you help me these
Quality of spam ﬁltering Remark1. Although this question is related to probabilities, you do not need to use any probability theory whatsoever. That said, the exercise requires some command with percents and a good deal of common sense reasoning. Remark 2. In ... ﬂagged as spam? 4. . What is the highest possible percent of genuine messages among those that are ﬂagged as spam?

asked Jan 10 in Probability by OBaid Alam (8 points) | 12 views

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Made easy test series flt1 probability
Consider the set X = {1 ,2, 3 …. 15}. Two elements ‘a’ and ‘b’ are chosen at random from S. The probability that the elements chosen satisfy a + b = 16 is equal to ________. (Upto 2 decimal places)

asked Jan 10 in Probability by Ram Swaroop (155 points) | 22 views

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ISRO - 2009 , not able to get why multiply by 1000

asked Jan 5 in Probability by dr_Jackal (16 points) | 9 views

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probability gate CE 04
A hydraulic structure has four gates which operate independently. The probability of failure of each gate is 0.2.0.2. Given that gate 11 has failed, the probability that both gates 22 and 33 will fail is A 0.240 B 0.200 C 0.040 D 0.008

answered Dec 31, 2019 in Probability by Debapaul (620 points) | 18 views

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Conditional Probabiltiy
A box contains 4 coins. In which two of them are regular coins i.e. one side head and another side tail. And two coins are fake coins, one consists of head on both sides and another coin consists of tail on both sides. Then what is the probability of getting a ... fake? a) 0.25 b) 0.75 c) 0.60 I tried using bayes theorem but I am not able to formulate the values precisely.

answered Dec 26, 2019 in Probability by Mk Utkarsh (472 points) | 25 views

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Maths Poisson Distribution
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles ... the probability (up to four decimal places) that the gap is greater than 8 seconds is ___________ Anyone please clarify.

answered Dec 16, 2019 in Probability by pranay562 (918 points) | 34 views

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Maths Probability
A Set S has 20 elements.A Subset P of S is selected at random.After inspecting the elements the elements are put back in to S and then a subset Q is selected at random.Then the probability that P and Q are disjoint is _______ (1/3)^20 (1/2)^20 (2/3)^20 (3/4)^20 Anyone please clarify.

asked Dec 13, 2019 in Probability by Shivateja MST (96 points) | 13 views

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Probability Uniform Distribution
Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M.That is, they arrive at 7, 7:15, 7:30, 7:45, and so on.If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:30, find the probability that ... than 5 minutes for a bus. (2) More than 10 minutes for a bus. (3) atleast 12 min for a bus. Anyone please clarify.

asked Dec 12, 2019 in Probability by Shivateja MST (96 points) | 5 views

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MOCK TESTS GATEFORUM
What is the probability of 3 students sharing a birthday in a class of 30 students is ________ . (A) 0.0300 (B) 0.7029 (C) 0.5604 (D) None of the above

asked Dec 3, 2019 in Probability by Dipanshu Rana (34 points) | 8 views

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Made easy test series : Probability
Plz give explaination of above question.

asked Dec 3, 2019 in Probability by vishal burnwal (119 points) | 16 views

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Applied course test series:Probability
Out of 10 persons sitting at a round table, three persons A, B and C are selected a random. The chance that no two of these are sitting together is What is the correct answer for above question?

asked Dec 1, 2019 in Probability by vishal burnwal (119 points) | 31 views

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Made Easy Test Series: Math
Number of tigers in a reserve is normally distributed with mean and variance respectively as $1200$ and $9\times 10^{4}$. The probability of finding more than $1800$ tiger is approx ___________ They found $\mu +\sigma$ and $\mu -\sigma$ at first. Then calculated $\mu +2\sigma$ and $\mu -2\sigma$ at first. but why , I couldnot understand it. Plz. explain

answered Nov 3, 2019 in Probability by pranay562 (918 points) | 83 views

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Self Doubt: Eng. Math
what is median of $max\left ( x,y \right )$? Will it be $0$ or $\frac{x+y}{2}$?

asked Nov 2, 2019 in Probability by srestha (636 points) | 20 views

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CSE GATE GURU: MATHEMATICS

answered Oct 27, 2019 in Probability by Satbir (4.1k points) | 34 views

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GATE 2014-1-2 (self modified doubt)
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the longer stick is ________ My ans is $0.75$ Is this correct?

answered Oct 25, 2019 in Probability by Satbir (4.1k points) | 18 views

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Ace Academy Question
Let A and B are two independent events such that P(A)=P(B) and P(A U B)=0.5 then P(A)=?

answered Oct 23, 2019 in Probability by Anirban Chand (16 points) | 24 views

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GATE GURU TEST SERIES MATHS
A cancer institute has a testing methodology. The methodology produces 95% positive result, also 10% rate of false-positive(i..e showing a non cancer person as a cancer affected patient). If there are 0.5% of the people have cancer. Suppose a person is classified as a disease affected person, what is the probability that the person is really have cancer? _______________

asked Oct 4, 2019 in Probability by Debapaul (620 points) | 52 views

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Standard question but looking for the correct procedure or some different methods

answered Sep 15, 2019 in Probability by GAITONDE (1.7k points) | 27 views

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Want to verify the answer. Self Notes
We are given two urns as follows. Urn A contain 5 red marbles, 3 white marbles and 8 blue marbles. Urn B contains 3 red marbles and 5 white marbles. A fair dice is tossed if 3 & 6 appears a marble is chosen from urn B otherwise a marble is ... is the probability that it came from urn A. I don't know the answer. I am getting $\frac{5}{8}$ Please verify.

asked Sep 15, 2019 in Probability by `JEET (178 points) | 25 views

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self doubt question, No source of question
a random variable $x$ follows binomial distribution with $mean = 2$ times of variance and $mean + variance = 3$, then $p(x) = 3$ is...

asked Sep 12, 2019 in Probability by `JEET (178 points) | 11 views

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Made easy Practice Book
Consider a random variable X that takes values +1 and -1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x=-1 and +1 are A. 0 and 0.5 B. 0 and 1 C. 0.5 and 1 D. 0.25 and 0.75

answered Aug 30, 2019 in Probability by GAITONDE (1.7k points) | 16 views

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[GATEBOOK TESTSERIES] What is the expectation of the following event?

answered Aug 29, 2019 in Probability by GAITONDE (1.7k points) | 16 views

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A 52 card deck is divided into four hands with 13 cards each. What is the probability that each hand has a queen?

answered Aug 25, 2019 in Probability by Satbir (4.1k points) | 25 views

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A draws 2 cards at random from a pack of 52 cards.

answered Aug 24, 2019 in Probability by srestha (636 points) | 26 views

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Self doubt- Independent events
In probability, in case of 3 events, why do we need to check pair wise independence rather than just mutual?

asked Jul 28, 2019 in Probability by sachin270895 (6 points) | 8 views

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Made Easy Test Series:Mathematics-2
Consider Kuldeep purchase a product of company $X.$ The manual on it states that the lifetime $T$ ... $3rd$ year is __________________ What to use poisson or exponential distribution?

asked Jul 25, 2019 in Probability by srestha (636 points) | 19 views

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Sheldon Ross - excercise
Five balls are randomly chosen, without replacement, from an um that contains 5 red, 6 white, and 7 blue balls. Find the probability that at least one ball of each color is chosen.

answered Jul 20, 2019 in Probability by Debargha Bhattacharj (1.5k points) | 13 views

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Probability RD SHARMA
A laboratory blood test is 99%effective in detecting a certain disease when it is in fact, present. However, the test also yield a false positive result for 0.5%of the healthy person tested (that is, if a healthy person is tested, then, with ... population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

answered Jul 18, 2019 in Probability by Hirak (1.2k points) | 20 views

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self doubts conditional probability
A and B two events such that condition probability P(A|B)=1 then ($B^{c }|A^{c}$) is

answered Jul 11, 2019 in Probability by Debargha Bhattacharj (1.5k points) | 22 views

+1 vote

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Ross Chapter 3 Page no-56 Question-2b
A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .30, and a tie with probability .28. The customer will purchase both a suit and a shirt with probability .11 ... will purchase all 3 items with probability .06. What is the probability that a customer purchases exactly 1 of these items?

answered Jul 11, 2019 in Probability by Debargha Bhattacharj (1.5k points) | 36 views

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#Total Probability
In a tournament A is in Final, B and C are in semi-final, Probability that B wins semi-final is (1/3) and C wins the semi-final is (2/3), If A vs B then probability that A win is (2/3) and if A vs C then probability that A win is(1/4). What is the Probability that B will win in Final? What is the Probability that C will win in Final?

answered Jul 10, 2019 in Probability by Arkaprava (147 points) | 10 views

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conditional probability self doubt
in given probability question how can we assure that , we have to apply here conditional probability P(A/B) or multiplication rule P(A&B)?

asked Jul 2, 2019 in Probability by pavitra (6 points) | 12 views

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Sheldon Ross 9e Chapter-3 page no-103 Question-7 & 8

answered Jul 1, 2019 in Probability by srestha (636 points) | 24 views

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