GATE Overflow - Recent questions tagged probability
http://gateoverflow.in/tag/probability
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<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=9826512353065079146"></p>Graph Theoryhttp://gateoverflow.in/106414/testbookMon, 16 Jan 2017 12:30:45 +0000Ace Pre Gate 2017
http://gateoverflow.in/106253/ace-pre-gate-2017
<p> </p>
<p> </p>
<p><big>All elements of a 2x2 matrix "A" can have values either 0 or 1. The probability that any element gets a value (0 or 1) is 1/2. If all elements of this matrix are chosen at random, what is the probability that the determinant of this matrix is positive?</big></p>Probabilityhttp://gateoverflow.in/106253/ace-pre-gate-2017Mon, 16 Jan 2017 07:24:59 +0000what is the probability that the mother could have had the very long or very short pregnancy
http://gateoverflow.in/104579/what-probability-mother-could-very-long-very-short-pregnancy
<p>An expert witness in a paternity suit testifies that the length (in days) of distributed with parameters μ=270 and σ^2=100. The defendant in the suit is able to prove that he was out of the country during a period that began 290 days before the birth of the child and ended 240 days before birth.
<br>
If the defendant was in fact, the father of the child, what is the probability that the mother could have had the very long or very short pregnancy indicated by the testimony?</p>
<ol>
<li> 0.241</li>
<li> 0.0241</li>
</ol>
<p> </p>
<p>how to solve such questions??</p>Probabilityhttp://gateoverflow.in/104579/what-probability-mother-could-very-long-very-short-pregnancyThu, 12 Jan 2017 13:54:30 +0000findthe probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?
http://gateoverflow.in/104543/findthe-probability-customers-arrive-minutes-bought-product
<p>Customers arrive at a shop according to a Poisson process at rate λ (/min), where they choose to buy either product A (with probability P) or product B (with probability 1 – P), independently. Given that during the first hour 5 customers chose product B, what is the probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?</p>
<ol>
<li> 60%</li>
<li> 70%</li>
<li> 30%</li>
<li> 40%</li>
</ol>Probabilityhttp://gateoverflow.in/104543/findthe-probability-customers-arrive-minutes-bought-productThu, 12 Jan 2017 13:10:51 +0000Probability
http://gateoverflow.in/104445/probability
2 friends Alice and Bob have found an unfair coin,It has 72% chance of coming up heads.Alice and Bob plays a game with this coin.If coin comes up head then tails,Alice wins.If it's reverse(tails,then heas),Bob wins.And if neither of those two things happens,the game restarts and continues untill there is a winner <br />
<br />
What is Bob's probability of winning?Mathematical Logichttp://gateoverflow.in/104445/probabilityThu, 12 Jan 2017 09:52:48 +0000Maths: Probability Distribution Que01
http://gateoverflow.in/104418/maths-probability-distribution-que01
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=15533185615533012495"></p>Probabilityhttp://gateoverflow.in/104418/maths-probability-distribution-que01Thu, 12 Jan 2017 08:14:34 +0000geeks-mocks-2017
http://gateoverflow.in/104081/geeks-mocks-2017
Four different pens (1, 2, 3, 4) are to be distributed at random in four pen stands marked as 1, 2, 3, 4. What is the probability that none of the pen occupies the place corresponding to its number ?<br />
<br />
a. 17/18<br />
b. 3/8<br />
c. 1/2<br />
d. 5/8<br />
<br />
How will we use the formula for derangements here? Using the direct formula of !n is giving wrong answer.Numerical Abilityhttp://gateoverflow.in/104081/geeks-mocks-2017Wed, 11 Jan 2017 13:36:39 +0000Gate 2005 EE
http://gateoverflow.in/104075/gate-2005-ee
If P and Q are two random events, then the following is TRUE:<br />
<br />
A] Independence of P and Q implies that probability (P ∩ Q) = 0<br />
B] Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)<br />
C] If P and Q are mutually exclusive, then they must be independent<br />
D] Probability (P ∩ Q) ≤ Probability (P)Probabilityhttp://gateoverflow.in/104075/gate-2005-eeWed, 11 Jan 2017 13:22:45 +0000MadeEasy Full test question
http://gateoverflow.in/102029/madeeasy-full-test-question
A packet of 10 bulbs is known to include 2 bulbs that are defective. If 4 bulbs are randomly chosen and tested, the probability of finding among them not more than 1 defective bulb is ____.Combinatoryhttp://gateoverflow.in/102029/madeeasy-full-test-questionSat, 07 Jan 2017 10:48:09 +0000Probablity Knockout Round
http://gateoverflow.in/101459/probablity-knockout-round
In a knockout tournament $2^n$ equally skilled players;S1,S2,...,S2^n are participating.In each round players are divided in pair at random and winner from each pair moves in the next round.If S2 reaches the semi-final then the probability that S1 wins ?<br />
<br />
Could someone please help with hints/approach to solve this?Probabilityhttp://gateoverflow.in/101459/probablity-knockout-roundFri, 06 Jan 2017 08:55:25 +0000Probability Distribution: PDF
http://gateoverflow.in/98341/probability-distribution-pdf
<p>Que:-
<br>
The variance of the random variable X with P.D.F f(x)=0.5|x| e<sup>-|x|</sup> is ___?</p>Probabilityhttp://gateoverflow.in/98341/probability-distribution-pdfFri, 30 Dec 2016 06:30:38 +0000probability of transmission
http://gateoverflow.in/98301/probability-of-transmission
Suppose $N$ users are transmitting their own data continuously at a rate of $1$ Mbps over a $2$ Mbps capacity link by sharing it. Each user transmits only for $30\text{%}$ of the time. If the $N$ is $4$, find the probability that at any given time, all the users are transmitting simultaneously?Computer Networkshttp://gateoverflow.in/98301/probability-of-transmissionFri, 30 Dec 2016 04:42:18 +0000Is question correct
http://gateoverflow.in/98044/is-question-correct
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=6642063420963741049"></p>Probabilityhttp://gateoverflow.in/98044/is-question-correctThu, 29 Dec 2016 07:18:54 +0000probability
http://gateoverflow.in/97605/probability
<p>players P<sub>1</sub>,P<sub>2</sub>,P<sub>3</sub>……… P<sub>16</sub> play in a tournament. They are divided into eight pairs at random, from each pair a winner is decided on the basis of a game played between the two players of the pairs. Assuming that all the players are of equal strength, the probability that exactly one of the two players P<sub>1</sub> and P<sub>2</sub> is among the eight winners is ________.ans 8/15</p>Probabilityhttp://gateoverflow.in/97605/probabilityWed, 28 Dec 2016 05:34:52 +0000probability
http://gateoverflow.in/97406/probability
<p>1) A total of 46% of the voters in a certain city classify themselves as Independents, where as 30% classify themselves as Liberals and 24% say they are Conservatives. In s recent local election, 35% of the Independents, 62% of the Liberals and 58% of the Conservatives voted. A voter is chosen at random. Given that this person voted in the local election, the probability that he or she is an Independent is _________ ans 0.331</p>
<p>2) A family has children with probability P_i where P<sub>1</sub>=0.01,P<sub>2</sub>=0.25,P<sub>3</sub>=0.35,P<sub>4</sub>=0.3. A child from this family is randomly chosen. Given that this child is the eldest child in the family, the conditional probability that the family has 4 children _______.ans 0.18</p>
<p> </p>Probabilityhttp://gateoverflow.in/97406/probabilityTue, 27 Dec 2016 14:34:06 +0000Math Probability
http://gateoverflow.in/96818/math-probability
Consider the random variable X such that it takes values +1,-1 and +2 with probability 0.1 each .Calculate values of the commulative frequencydistribution function F(x) at x=-1 and x=1 and x=2 are ?Mathematical Logichttp://gateoverflow.in/96818/math-probabilityMon, 26 Dec 2016 08:26:27 +0000Maths
http://gateoverflow.in/96482/maths
There are 2 white and 4 black balls in urn A; in urn B, there are 4 white and 7 black balls. If one ball is randomly replaced from A into B and a ball is drawn from B then find the probability for the ball to be a white one?Probabilityhttp://gateoverflow.in/96482/mathsSun, 25 Dec 2016 07:51:58 +0000Made Easy doubt
http://gateoverflow.in/95889/made-easy-doubt
A fair coin is tossed until the same result turns up in succession(two head or two tail).Find the probability the number of tosses neede are even..<br />
<br />
my approach ..P={P(x=2)+P(x=4)+P(x=6)+...}=0.33<br />
<br />
Me answer 2*{P(x=2)+P(x=4)+P(x=6)+...}=0.66<br />
<br />
what is the reason of this 2 multiplication?Probabilityhttp://gateoverflow.in/95889/made-easy-doubtFri, 23 Dec 2016 15:04:44 +0000TIFR2017-A-9
http://gateoverflow.in/95042/tifr2017-a-9
<p>Consider the $majority$ function on three bits, $\textbf{maj}: \{0, 1\}^3 \rightarrow \{0, 1\}$ where $\textbf{maj}(x_1, x_2, x_3)=1$ if and only if $x_1+x_2+x_3 \geq 2$. Let $p(\alpha)$ be the probability that the output is 1 when each input is set to 1 independently with probability $\alpha$. What is $p'(\alpha) = \frac{d}{d\alpha} p (\alpha)$?</p>
<ol style="list-style-type:upper-alpha">
<li>$3 \alpha$</li>
<li>$\alpha^2$</li>
<li>$6\alpha(1-\alpha)$</li>
<li>$3\alpha^2 (1-\alpha)$</li>
<li>$6\alpha(1-\alpha)+\alpha^2$</li>
</ol>Probabilityhttp://gateoverflow.in/95042/tifr2017-a-9Wed, 21 Dec 2016 12:17:30 +0000Probability ,Settheory.
http://gateoverflow.in/94195/probability-settheory
<p>$1)$ A random selector can only select one of the nine integers $\left \{ 1,2,.....,9 \right \}$ and it makes these selections with equal probability,Assume that $n$ numbers are chosen this way.Find the probability such that the product of $n$ numbers selected is not divisible by $3$.</p>
<hr>
<p>$2)$ Let S = {1, 2, . . . , n} then Find |{(R, T) : R, T ⊆ S, R ∩ T = ∅}| = ? </p>Probabilityhttp://gateoverflow.in/94195/probability-settheoryMon, 19 Dec 2016 01:19:22 +0000Probability (Expectation)
http://gateoverflow.in/93703/probability-expectation
Suppose that the expectation of a random variable X is 5. Which of the following statements is true?<br />
<br />
(A) - There is a sample point at which the X has the value 5.<br />
<br />
(B) - There is a sample point at which the X has the value greater than 5.<br />
<br />
(C) - There is a sample point at which the X has the value greater than or equal to 5.<br />
<br />
(D) - None.<br />
<br />
Explain.Mathematical Logichttp://gateoverflow.in/93703/probability-expectationSat, 17 Dec 2016 10:53:08 +0000Expected value
http://gateoverflow.in/93587/expected-value
<p>in C language <code>rand() </code>returns a random integer number. Following is a function definition.</p>
<pre class="prettyprint lang-c_cpp">
int f() {
return (rand() & 1) ? 1:0;
}</pre>
<p>Then what will be the expected value of <code>count </code>?</p>
<pre class="prettyprint lang-">
count = 0;
for(i=1;i<=n;i++) {
if(f() && f()) {
count++;
}
}</pre>
<p>& is <a rel="nofollow" href="https://www.tutorialspoint.com/cprogramming/c_bitwise_operators.htm">bitwise AND</a></p>
<p>&& is<a rel="nofollow" href="https://www.tutorialspoint.com/cprogramming/c_logical_operators.htm"> logical AND</a></p>
<p>and assume required seed has been initialized.</p>Probabilityhttp://gateoverflow.in/93587/expected-valueSat, 17 Dec 2016 05:04:39 +0000ME FLT-1 Q-10
http://gateoverflow.in/92237/me-flt-1-q-10
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=8222321838176142293"></p>
<p>i have used hypergeometric distribution but MADE Easy have used binomial theorem..we should use binomial when replacement are done na?</p>
<p>my ans.0.6</p>
<p>made easy ans:0.81</p>Mathematical Logichttp://gateoverflow.in/92237/me-flt-1-q-10Tue, 13 Dec 2016 05:46:58 +0000Probablity Problem
http://gateoverflow.in/92147/probablity-problem
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10164723110967199414"></p>Probabilityhttp://gateoverflow.in/92147/probablity-problemMon, 12 Dec 2016 17:21:23 +0000probability
http://gateoverflow.in/91844/probability
<p> </p>
<p>The average number of donuts a nine-year old child eats per month is uniformly distributed from 0.5 to 4 donuts, inclusive. Let X= the average number of donuts a nine-year-old child eats per month. Then X~∪(0.5,4)
<br>
The probability that a different nine-year-old child eats an average of more than two donuts given that his or her amount is more than 1.5 donuts is ________.</p>
<ol>
<li> 4/5</li>
<li> 1/5</li>
<li> 2/5</li>
<li> 3/5</li>
</ol>Mathematical Logichttp://gateoverflow.in/91844/probabilitySun, 11 Dec 2016 18:27:46 +0000counting
http://gateoverflow.in/90914/counting
A person has 8 friends, of whom 5 will be invited to a party.How many choices if 2 of the friends will only attend together??Probabilityhttp://gateoverflow.in/90914/countingFri, 09 Dec 2016 00:06:36 +0000sheldon Ross
http://gateoverflow.in/90702/sheldon-ross
<h3>A coin is flipped n times. Assuming that the flips are independent, with each one
<br>
coming up heads with probability p, what is the probability that there is a string of k
<br>
consecutive heads?</h3>Mathematical Logichttp://gateoverflow.in/90702/sheldon-rossThu, 08 Dec 2016 10:06:29 +0000probability solve
http://gateoverflow.in/88771/probability-solve
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=8940413993024753240"></p>Probabilityhttp://gateoverflow.in/88771/probability-solveFri, 02 Dec 2016 08:45:38 +00002 bulbs out of a sample of 10 bulbs manufactured by a company are defective.
http://gateoverflow.in/88215/bulbs-out-sample-bulbs-manufactured-company-are-defective
2 bulbs out of a sample of 10 bulbs manufactured by a company are defective. The probability that 3 out of 4 bulbs bought by a customer will not be defective isProbabilityhttp://gateoverflow.in/88215/bulbs-out-sample-bulbs-manufactured-company-are-defectiveWed, 30 Nov 2016 18:08:13 +0000GATE1989-4-viii
http://gateoverflow.in/88156/gate1989-4-viii
Provide short answers to the following questions:<br />
<br />
$P_{n} (t)$ is the probability of $n$ events occuring during a time interval $t$. How will you express $P_{0} (t + h)$ in terms of $P_{0} (h)$, if $P_{0} (t)$ has stationary independent increments? (Note: $P_{t} (t)$is the probability density function).Probabilityhttp://gateoverflow.in/88156/gate1989-4-viiiWed, 30 Nov 2016 14:47:26 +0000Consider a post office that is staffed by two clerks. Suppose that when Miss. Granger enters the system
http://gateoverflow.in/87637/consider-office-staffed-clerks-suppose-granger-enters-system
<p>Consider a post office that is staffed by two clerks. Suppose that when Miss. Granger enters the system, she discovers that Mr. Harry is being served by one of the clerks and Mr. Ron by other.
<br>
Suppose also that Miss Granger is told that her service will begin as soon as either Harry or Ron leaves.
<br>
If the amount of time that clerk spends with a customer is exponentially distributed with parameter λ, what is the probability that, of the three customers, Miss. Granger is the last to leave the post office?</p>
<ol>
<li> 1</li>
<li> 1/2</li>
<li> 1/8</li>
<li> 1/4</li>
</ol>Probabilityhttp://gateoverflow.in/87637/consider-office-staffed-clerks-suppose-granger-enters-systemTue, 29 Nov 2016 05:06:22 +0000Consider an experimenter that consists of counting the number of ∝- particles
http://gateoverflow.in/87626/consider-experimenter-consists-counting-number-particles
Consider an experimenter that consists of counting the number of ∝- particles given off in a 1 second interval by 1 gram of radioactive material. If we know from past experience 3 on the average 3.2 such ∝- particles are given off, what is a good approximation to the probability that no more than 2 ∝- particles will appear?Probabilityhttp://gateoverflow.in/87626/consider-experimenter-consists-counting-number-particlesTue, 29 Nov 2016 04:47:10 +0000If any 6 points are chosen on the perimeter of a circle,
http://gateoverflow.in/87558/if-any-6-points-are-chosen-on-the-perimeter-of-a-circle
The largest integer n that satisfies the following condition:<br />
If any 6 points are chosen on the perimeter of a circle, then we can draw semicircle of the circle, such that there are at least n points on it. ____Combinatoryhttp://gateoverflow.in/87558/if-any-6-points-are-chosen-on-the-perimeter-of-a-circleMon, 28 Nov 2016 18:31:11 +0000what is the probability you will see a full moon?
http://gateoverflow.in/87242/what-is-the-probability-you-will-see-a-full-moon
<p>A full moon occurs every 29 nights. If you choose a night at random and then observe the night sky for 11 successive nights, what is the probability you will see a full moon?</p>
<ol>
<li> 0.03</li>
<li> 0.11</li>
<li> 0.38</li>
</ol>Probabilityhttp://gateoverflow.in/87242/what-is-the-probability-you-will-see-a-full-moonSun, 27 Nov 2016 17:40:14 +0000GATE1989-3-vii
http://gateoverflow.in/87141/gate1989-3-vii
<p>Answer the following:</p>
<p>Which of the following statements are FALSE?</p>
<ol style="list-style-type:upper-alpha">
<li>For poisson distribution, the mean is twice the variance.</li>
<li>In queuing theory, if arrivals occur according to poisson distribution, then the inter-arrival time is exponentially distributed.</li>
<li>The distribution of waiting time is independent of the service discipline used in selecting the waiting customers for service.</li>
<li>If the time between successive arrivals is exponential, then the time between the occurences of every third arrival is also exponential.</li>
</ol>Probabilityhttp://gateoverflow.in/87141/gate1989-3-viiSun, 27 Nov 2016 13:37:28 +0000probability
http://gateoverflow.in/85909/probability
two cards are drawn from a well shuffled deck of 52 cards one after the other without replacement the probabaility of first card being a spade and second a black kings ishttp://gateoverflow.in/85909/probabilityFri, 25 Nov 2016 07:46:52 +0000any good link for studying about normal distribution
http://gateoverflow.in/85799/any-good-link-for-studying-about-normal-distribution
please provide a good link for normal distribution<br />
<br />
Thankyouhttp://gateoverflow.in/85799/any-good-link-for-studying-about-normal-distributionFri, 25 Nov 2016 04:47:44 +0000The The width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030
http://gateoverflow.in/85728/width-slot-duralumin-inches-normally-distributed-with-0030
<p>The The width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030.width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030. The specification limits were given as 9000±0.0050.
<br>
What % of forgings will be defective?</p>
<ul>
<li>0.95</li>
<li> 0.99</li>
<li> 0.98</li>
<li> 0.905</li>
</ul>Probabilityhttp://gateoverflow.in/85728/width-slot-duralumin-inches-normally-distributed-with-0030Thu, 24 Nov 2016 17:39:26 +0000A arrives at office at 8-10am regularly; B arrives at 9-11 am every day
http://gateoverflow.in/85624/arrives-at-office-at-10am-regularly-arrives-at-11-am-every-day
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]Probabilityhttp://gateoverflow.in/85624/arrives-at-office-at-10am-regularly-arrives-at-11-am-every-dayThu, 24 Nov 2016 13:43:09 +0000If the probability that the first creature’s statement was actually true is a/b for some co-prime positive integer a, b
http://gateoverflow.in/85608/probability-creatures-statement-actually-positive-integer
On planet XZ101X, there are two types of creatures: small brain and big brain.<br />
Small brain tells the truth 6/7 of the time and lie only 1/7 of the time, while big brain tells the truth 1/5 of the time and lie 4/5 of the time.<br />
It is also known that there is 2/3 chance a creature from XZ101X is a small brain and a 1/3 chance that it is a big brain but there is no way of differentiating from these two types.<br />
You are visiting XZ101X on a research trip. During your stay, you come across a creature who states that it has found a one line proof Fermet's last theorem.<br />
Immediately after that, a second creature shows up and states that the first creatures’ statement was a true one.<br />
If the probability that the first creature’s statement was actually true is a/b for some co-prime positive integer a, b. The value of b-a=__________.Probabilityhttp://gateoverflow.in/85608/probability-creatures-statement-actually-positive-integerThu, 24 Nov 2016 11:55:39 +00002..You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car.
http://gateoverflow.in/85603/game-there-closed-doors-leads-nothing-leads-expensive-sports
<p>You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car. You are allowed to pick a door and earn the sports car if it’s behind the door you choose. You choose a door and the host tells you he was preauthorized to make your chance of winning better! You have two options.
<br>
Option 1: Get the right to open two doors and win if the car is behind either of the ones you open.
<br>
Option 2: Have the host open 4 empty doors [None of them the one you had choose] and then get the right to switch if you want.
<br>
If you want to win the car, what should you do?</p>
<ol>
<li> You should be indifferent</li>
<li> Go with option 2, then don’t switch</li>
<li> Go with option 2 and switch</li>
<li> Go with option 1</li>
</ol>Probabilityhttp://gateoverflow.in/85603/game-there-closed-doors-leads-nothing-leads-expensive-sportsThu, 24 Nov 2016 11:35:18 +00001.You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car.
http://gateoverflow.in/85601/game-there-closed-doors-leads-nothing-leads-expensive-sports
<p>Q.</p>
<p> </p>
<p>You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car. You are allowed to pick a door and earn the sports car if it’s behind the door you choose. You choose a door and the host tells you he was preauthorized to make your chance of winning better! You have two options.
<br>
Option 1: Get the right to open two doors and win if the car is behind either of the ones you open.
<br>
Option 2: Have the host open 5 empty doors [None of them the one you had choose] and then get the right to switch if you want.
<br>
If you want to win the car, what should you do?</p>
<ol>
<li> Go with option 2 and switch</li>
<li> You should be indifferent</li>
<li> Go with option 2, then don’t switch</li>
<li> Go with option 1</li>
</ol>Probabilityhttp://gateoverflow.in/85601/game-there-closed-doors-leads-nothing-leads-expensive-sportsThu, 24 Nov 2016 11:32:02 +0000Consider independent trails consisting of rolling a pair of fair dice, over and over
http://gateoverflow.in/85555/consider-independent-trails-consisting-rolling-pair-fair
<p>Consider independent trails consisting of rolling a pair of fair dice, over and over. What is the probability that a sum of 5 appears before sum of 7?</p>
<ol>
<li> 1/5</li>
<li> 1/6</li>
<li> 2/9</li>
<li> None of them</li>
</ol>Probabilityhttp://gateoverflow.in/85555/consider-independent-trails-consisting-rolling-pair-fairThu, 24 Nov 2016 09:14:59 +0000probability
http://gateoverflow.in/84391/probability
If two cards are selected randomly from a pack of 52 cards then find the probability of first card being club and second card not being a queen?Probabilityhttp://gateoverflow.in/84391/probabilitySun, 20 Nov 2016 16:07:29 +0000probability
http://gateoverflow.in/83453/probability
the letters of the word PROBABILITY are arranged in all possible ways . the chance that B's and also two I's occur together is .?Combinatoryhttp://gateoverflow.in/83453/probabilityThu, 17 Nov 2016 15:46:14 +0000Probability
http://gateoverflow.in/83450/probability
Let there be a string of 10 bits generated uniformly at random (each bit could be 0 or 1 with equal probability). What is the expected number of appearances of a substring 011 in this string?Probabilityhttp://gateoverflow.in/83450/probabilityThu, 17 Nov 2016 15:20:34 +0000probability distribution
http://gateoverflow.in/83438/probability-distribution
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]Mathematical Logichttp://gateoverflow.in/83438/probability-distributionThu, 17 Nov 2016 14:59:15 +0000probabiltiy
http://gateoverflow.in/79827/probabiltiy
5 integers randomly chosen from 1 to 2015. What is the probability that there is a pair of integers whose difference is a multiple of 4?Probabilityhttp://gateoverflow.in/79827/probabiltiyMon, 07 Nov 2016 09:07:57 +0000probability
http://gateoverflow.in/79793/probability
Alice and Betty play a game where Alice goes first. They each say a distinct integer from 1 to 15 (inclusive). The first person to say an integer which we summed with a previously spoken integer, gives the value of 16, will lose the game. Who will win the game?Probabilityhttp://gateoverflow.in/79793/probabilityMon, 07 Nov 2016 06:44:54 +0000GATE 2015 EE How to find which coin is fair?
http://gateoverflow.in/79786/gate-2015-ee-how-to-find-which-coin-is-fair
<p>Two coins $R$ and $S$ are tossed. The 4 joint events $H_RH_S, T_RT_S, H_RT_S, T_RH_S$ have probabilities 0.28, 0.18, 0.30, 0.24, respectively, where H represents head and T represents tail. Which one of the following is TRUE?</p>
<ol style="list-style-type: upper-alpha;">
<li>The coin tosses are independent.</li>
<li>$R$ is fair, $S$ is not.</li>
<li>$S$ is fair, $R$ is not.</li>
<li>The coin tosses are dependent</li>
</ol>Probabilityhttp://gateoverflow.in/79786/gate-2015-ee-how-to-find-which-coin-is-fairMon, 07 Nov 2016 06:32:47 +0000