Recent questions tagged probability - GATE CSE Doubts

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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 2 days ago in Probability by Dheera (7 points) | 6 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 2 days ago in Probability by Dheera (7 points) | 8 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 4 days ago in Probability by Dheera (7 points) | 33 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 6 days ago in Probability by Dheera (7 points) | 9 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 in Probability by Dhruvil (11 points) | 20 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 in Mathematical Logic by Sharma9999999 (5 points) | 18 views

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Exponential Distribution (probability) - self doubts

asked Sep 21 in Probability by Dipankar Giri (5 points) | 14 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 in Probability by Dipankar Giri (5 points) | 12 views

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Gravner Probability Exercise

asked Sep 7 in Probability by Mellophi (363 points) | 45 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 in Probability by akshita_jain (17 points) | 221 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 in Probability by aryashah2k (2 points) | 28 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 in Probability by aryashah2k (2 points) | 200 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 in Probability by pravincesingh (5 points) | 107 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 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 in Probability by Raj_81 (11 points) | 15 views

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

asked Jun 12 in Probability by abhijeet at (9 points) | 19 views

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#A First Course In Probability Sheldon Ross #self_doubt

asked May 21 in Probability by Neelam_$ingh_222 (5 points) | 17 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 in Probability by Neelam_$ingh_222 (5 points) | 54 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 in Probability by Neelam_$ingh_222 (5 points) | 34 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 in Probability by admin (197 points) | 8 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 in Numerical Ability by admin (197 points) | 4 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 in Operating System by admin (197 points) | 7 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 in DS by admin (197 points) | 10 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 in Probability by admin (197 points) | 5 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 in Probability by admin (197 points) | 5 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 in Digital Logic by admin (197 points) | 5 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 in Probability by admin (197 points) | 5 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 in DS by admin (197 points) | 7 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 in Probability by admin (197 points) | 9 views

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GATE2015-1-GA-10 Video Solution
The probabilities that a student passes in mathematics, physics and chemistry are $m,p$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ ... Only relation I is true. Only relation II is true. Relations II and III are true. Relations I and III are true.

asked Apr 18 in Numerical Ability by admin (197 points) | 4 views

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GATE2013-24 Video Solution
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? $\dfrac {1}{8}$ $1$ $7$ $8$

asked Apr 18 in Probability by admin (197 points) | 7 views

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GATE2010-27 Video Solution
What is the probability that divisor of $10^{99}$ is a multiple of $10^{96}$? $\left(\dfrac{1}{625}\right)$ $\left(\dfrac{4}{625}\right)$ $\left(\dfrac{12}{625}\right)$ $\left(\dfrac{16}{625}\right)$

asked Apr 18 in Probability by admin (197 points) | 7 views

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GATE2017-2-31 Video Solution
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 discrete ... . The expectation of $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone

asked Apr 18 in Probability by admin (197 points) | 12 views

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GATE2017-2-48 Video Solution
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.

asked Apr 18 in Probability by admin (197 points) | 6 views

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GATE2018-GA-10 Video Solution
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

asked Apr 18 in Numerical Ability by admin (197 points) | 6 views

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GATE2008-29 Video Solution
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 $3$ $2$ $\sqrt{2}$ $1$

asked Apr 18 in Probability by admin (197 points) | 6 views

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GATE2007-24 Video Solution
Suppose we uniformly and randomly select a permutation from the $20 !$ permutations of $1, 2, 3\ldots ,20.$ What is the probability that $2$ appears at an earlier position than any other even number in the selected permutation? $\left(\dfrac{1}{2} \right)$ $\left(\dfrac{1}{10}\right)$ $\left(\dfrac{9!}{20!}\right)$ None of these

asked Apr 18 in Probability by admin (197 points) | 5 views

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GATE2018-44 Video Solution
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, $P(M_G)$ and $P(L_G)$ ... , then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is _____

asked Apr 18 in Probability by admin (197 points) | 8 views

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GATE2019-47 Video Solution
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) _______

asked Apr 18 in Probability by admin (197 points) | 7 views

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GATE2001-2.4 Video Solution
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day? $\dfrac{1}{7^7}\\$ $\dfrac{1}{7^6}\\$ $\dfrac{1}{2^7}\\$ $\dfrac{7}{2^7}\\$

asked Apr 18 in Probability by admin (197 points) | 1 view

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