GATE Overflow - Recent questions tagged probability
http://gateoverflow.in/tag/probability
Powered by Question2AnswerProbability
http://gateoverflow.in/119765/probability
There are 15 tennis balls in a box, of which 9 have not previously been used. Three of the balls are randomly chosen, played with, and then returned to the box. Later, another 3 balls are randomly chosen from the box. Find the probability that none of these balls has ever been used.Numerical Abilityhttp://gateoverflow.in/119765/probabilitySat, 25 Feb 2017 05:46:07 +0000probability
http://gateoverflow.in/119705/probability
In a bag,there are 4 fair coins and 3 unfair coins.The probability of getting a head in those unfair coins is 1/3 and tail is 2/3.Now if 2 coins are taken from the bag and flipped.What is the probability of getting both as heads ?Numerical Abilityhttp://gateoverflow.in/119705/probabilityThu, 23 Feb 2017 16:20:03 +0000#probability_doubt_in_basic_concept
http://gateoverflow.in/119694/%23probability_doubt_in_basic_concept
<p><span class="marker">1)</span> Two coins are tossed.What is the probability of getting one head and one tail ? WKT ANS IS 2/4=1/2</p>
<p><span class="marker">2)</span> A coin is tossed twice.What is the probability of getting one head and one tail ? WKT ANS is 2/4=1/2</p>
<p><span class="marker">3)</span> A bag has 3 red balls and 4 green balls.Two balls are picked from the bag randomly.What is the probability of getting one red and one green ? ANS GIVEN IS (3/7*4/6)....WHY NOT (3/7*4/6)+(4/7*3/6)</p>
<p>I MEAN WHY WE ARE CONSIDERING THE ORDER FOR<span class="marker"> 1)</span> AND <span class="marker">2)</span> BUT NOT FOR <span class="marker">3)</span></p>
<p>THAT IS IN <span class="marker">1)</span> AND <span class="marker">2)</span> ......{HEAD,TAIL} AND {TAIL,HEAD} ARE TREATED DIFFERENTLY BUT IN <span class="marker">3)</span> BOTH {R,G} AND {G,R} ARE TREATED SAME......WHY ???</p>
<p>please explain I am getting confused here ....</p>
<p> </p>Numerical Abilityhttp://gateoverflow.in/119694/%23probability_doubt_in_basic_conceptThu, 23 Feb 2017 11:47:04 +0000probability
http://gateoverflow.in/119660/probability
<p><img alt="" height="79" src="http://gateoverflow.in/?qa=blob&qa_blobid=15393637210555024677" width="638"></p>Probabilityhttp://gateoverflow.in/119660/probabilityWed, 22 Feb 2017 14:58:45 +0000ISRO2016 EC Probability
http://gateoverflow.in/119618/isro2016-ec-probability
<p>A person on a trip has a choice between private car and public transport. The probability of using a private car is 0.45. While using public transport, further choice available are bus and metro. Out of which the probability of commuting by a bus is 0.55. In such a situation, the probability (rounded upto two decimals) of using a car, bus and metro respectively would be</p>
<hr>
<p>
<br>
(a) 0.45, 0.30 and 0.25</p>
<p>(b) 0.45, 0.25 and 0.30</p>
<p>(c) 0.45, 0.55 and 0</p>
<p>(d) 0.45, 0.35 and 0.20</p>
<p> </p>Probabilityhttp://gateoverflow.in/119618/isro2016-ec-probabilityWed, 22 Feb 2017 04:36:39 +0000probability
http://gateoverflow.in/119576/probability
If 4 married couples are arranged in a row, find the<br />
probability that no husband sits next to his wife.Numerical Abilityhttp://gateoverflow.in/119576/probabilityTue, 21 Feb 2017 15:27:05 +0000probability
http://gateoverflow.in/119574/probability
A closet contains 10 pairs of shoes. If 8 shoes<br />
are randomly selected, what is the probability that<br />
there will be exactly 1 complete pair?<br />
<br />
ANSWER I AM GETTING : [ C(10,1) * C(9,6) * 2^6 ] / [ C(20,8) ] <br />
ANSWER GIVEN : [ C(10,1) * C(9,6) * 2^6 ] / [C[20,8] *2!]<br />
<br />
PLEASE VERIFY IF AM MISSING SOMETHINGNumerical Abilityhttp://gateoverflow.in/119574/probabilityTue, 21 Feb 2017 15:21:49 +0000probability
http://gateoverflow.in/119570/probability
A group of 6 men and 6 women is randomly<br />
divided into 2 groups of size 6 each. What is the<br />
probability that both groups will have the same<br />
number of men?<br />
<br />
ANSWER I AM GETTING IS : [C(6,3) * C(6,3)] / [12!/(6!*6!*2!)]<br />
ANSWER GIVEN IS : [C(6,3) * C(6,3)] / [12!/(6!*6!)] <br />
source : sheldon m ross textbook<br />
<br />
please do verify and provide explanation ....<br />
what i feel is that "the answer should be divided by 2! because the permutations among 2 groups shouldnot happen because both the groups are unlabelled"Numerical Abilityhttp://gateoverflow.in/119570/probabilityTue, 21 Feb 2017 14:31:22 +0000probability
http://gateoverflow.in/119569/probability
Given 20 people, what is the probability that,<br />
among the 12 months in the year, there are 4<br />
months containing exactly 2 birthdays and 4 containing<br />
exactly 3 birthdays?Numerical Abilityhttp://gateoverflow.in/119569/probabilityTue, 21 Feb 2017 13:31:10 +0000probability
http://gateoverflow.in/119539/probability
How many people have to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least $1/2$ ? Assume that all possible monthly outcomes are equally likely.Numerical Abilityhttp://gateoverflow.in/119539/probabilityTue, 21 Feb 2017 09:11:27 +0000probability
http://gateoverflow.in/119534/probability
Five people, designated as A, B, C, D, E, are<br />
arranged in linear order. Assuming that each possible<br />
order is equally likely, what is the probability<br />
that<br />
(a) there is exactly one person between A and B?<br />
(b) there are exactly two people between A<br />
and B?Numerical Abilityhttp://gateoverflow.in/119534/probabilityTue, 21 Feb 2017 08:19:01 +0000GATE2017-2-GA-5
http://gateoverflow.in/118419/gate2017-2-ga-5
<p>There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is</p>
<ol style="list-style-type: upper-alpha;">
<li>1/5</li>
<li>7/30</li>
<li>1/4</li>
<li>4/15</li>
</ol>Numerical Abilityhttp://gateoverflow.in/118419/gate2017-2-ga-5Tue, 14 Feb 2017 07:19:56 +0000GATE2017-1-GA-5
http://gateoverflow.in/118408/gate2017-1-ga-5
The probability that a $k$-digit number does NOT contain the digits 0, 5, or 9 is<br />
<br />
(A) $0.3^{k}$<br />
<br />
(B) $0.6^{k}$<br />
<br />
(C) $0.7^{k}$<br />
<br />
(D) $0.9^{k}$Numerical Abilityhttp://gateoverflow.in/118408/gate2017-1-ga-5Tue, 14 Feb 2017 07:17:38 +0000GATE2017-2-31
http://gateoverflow.in/118373/gate2017-2-31
<p>For any discrete random variable $X$, with probability mass function</p>
<p>$P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, 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 random variable $Y$, there exists a scalar $\beta \in [0,1]$ such that $g_y(z) = 1- \beta+\beta z)^N$. The expectation of $Y$ is</p>
<ol style="list-style-type:upper-alpha">
<li>$N \beta(1-\beta)$</li>
<li>$N \beta$</li>
<li>$N (1-\beta)$</li>
<li>Not expressible in terms of $N$ and $\beta$ alone</li>
</ol>
<p> </p>Probabilityhttp://gateoverflow.in/118373/gate2017-2-31Tue, 14 Feb 2017 07:13:16 +0000GATE2017-2-26
http://gateoverflow.in/118368/gate2017-2-26
<p>P and Q are considering to apply for a job. The probability that P applies for the job is 1/4, the probability that P applies for the job given that Q applies for the job is 1/2., and the probability that Q applies for the job given that P applies for the job is 1/3. Then the probability that P does not apply for the job given that Q does not apply for this job is</p>
<ol style="list-style-type: upper-alpha;">
<li>4/5</li>
<li>5/6</li>
<li>7/8</li>
<li>11/12</li>
</ol>Probabilityhttp://gateoverflow.in/118368/gate2017-2-26Tue, 14 Feb 2017 07:12:47 +0000GATE2017-1-19
http://gateoverflow.in/118299/gate2017-1-19
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 ______________ .Probabilityhttp://gateoverflow.in/118299/gate2017-1-19Tue, 14 Feb 2017 07:05:42 +0000Probability
http://gateoverflow.in/117354/probability
Three $N$ bit binary strings $S_1$,$S_2$,$S_3$ are selected in random. What is the probability that result of bit-wise XOR among them contains $k$ $1$'s.i.e. $S_1\oplus S_2\oplus S_3$ = $S$ , No of set bits in $S$ = $k$<br />
<br />
<br />
<br />
is it $\binom{n}{k}\left ( \frac{1}{2} \right )^k\left ( \frac{1}{2} \right )^{n-k}$ ??Probabilityhttp://gateoverflow.in/117354/probabilityWed, 08 Feb 2017 11:57:03 +0000gatebook
http://gateoverflow.in/116857/gatebook
In an examination there are 80 questions each having four choices. Exactly one of these four choices is correct and the other three are wrong. A student is awarded 1 mark for each correct answer, and -0.25 for each wrong answer. If a student ticks the answer of each question randomly, then the expected value of his/her total marks in the examination is.<br />
<br />
(A) -15<br />
<br />
(B) 0<br />
<br />
(C) 5<br />
<br />
(D) 20Probabilityhttp://gateoverflow.in/116857/gatebookTue, 07 Feb 2017 07:29:44 +0000GATE-2006-18
http://gateoverflow.in/115413/gate-2006-18
<p>We are given a set X = {x<sub>1</sub>, x<sub>2</sub> ...., x<sub>n</sub>} where x<sub>i</sub> = 2<sup>i</sup>. A sample S ⊆ X is drawn by selecting each x<sub>i</sub> independently with probability P<sub>i</sub> = $\frac{1}{2}$. The expected value of the smallest number in sample S is:</p>
<p>A) $\frac{1}{n}$</p>
<p>B) 2</p>
<p>C) $\sqrt{n}$</p>
<p>D) n</p>
<p> </p>Probabilityhttp://gateoverflow.in/115413/gate-2006-18Fri, 03 Feb 2017 15:47:57 +0000The Dice Game
http://gateoverflow.in/112103/the-dice-game
Three Players A, B and C play a game with a single die. The rules of<br />
the game are:<br />
Player A ALWAYS goes first.<br />
A rolls the die. If the die lands showing a 1 then A wins the game.<br />
If A does not throw a 1 then B has a turn.<br />
B rolls a die. If the die landing shows a 2 or 3 then B wins the<br />
game. If B does not throw a 2 or a 3 then C has a turn.<br />
<br />
C rolls the die. If the die lands showing a 4, 5 or 6 then C wins<br />
the game. If C does not throw a 4 or a 5 or a 6 then A starts again.<br />
<br />
This procedure continues until there is a winner.<br />
<br />
Investigate any or all of:<br />
<br />
1. The probabilities of each of A, B or C winning the game.<br />
<br />
2. Who will be the most likely winner?<br />
<br />
3. The most likely length of the game in terms of the number of rolls<br />
of the die to produce the winnerProbabilityhttp://gateoverflow.in/112103/the-dice-gameFri, 27 Jan 2017 17:31:09 +0000Probability
http://gateoverflow.in/111363/probability
A fair coin is tossed ten times in succession. If the first toss produces a head,<br />
then the probability of getting exactly three heads in ten tosses is<br />
<br />
I am doing like :-<br />
<br />
$\frac{1}{2}*n(9,2)*\frac{1}{2}^2\frac{1}{2}^7$<br />
<br />
I am using bionomial distribution here,Now for initial first head,will probability will be (1/2) or will it be 1?It says first produces head,means first head probability is (1/2) or is it (1)?<br />
<br />
After that i will find 2 success if of 9 trials.<br />
<br />
Please help,that inital (1/2) term above is correct ir should it be 1?Probabilityhttp://gateoverflow.in/111363/probabilityThu, 26 Jan 2017 02:41:18 +0000Probability
http://gateoverflow.in/110852/probability
A,B,C and D are four players playing the dice game and who gets the number 5 first wins the game. If A starts first what is the probability that D wins the game in second trail isProbabilityhttp://gateoverflow.in/110852/probabilityWed, 25 Jan 2017 08:52:07 +0000Probability
http://gateoverflow.in/110683/probability
<p><em>Given below are two problems that I had encountered in two different tests. They seem to me as the same type. However, the solutions provided have been done differently. Where am I wrong?</em></p>
<p><em><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=6229195413004414913"></em></p>Probabilityhttp://gateoverflow.in/110683/probabilityTue, 24 Jan 2017 19:26:36 +0000RD SHARMA
http://gateoverflow.in/110397/rd-sharma
There are 4 white and 4 black balls in a bag and 3 balls are drawn at random.If balls of same colour are identical,the probability that none of them are black is,(I am getting 1/14,ans is 1/4)Probabilityhttp://gateoverflow.in/110397/rd-sharmaTue, 24 Jan 2017 10:12:35 +0000Made Easy test series
http://gateoverflow.in/109586/made-easy-test-series
Fifteen coupons are numbered from 1 to 15. Seven coupons are selected at random one at a time with replacement. What is the probability that the largest number appearing on a selected coupon is 9 ?<br />
<br />
<br />
<br />
The solution provided is (3/5)^7 but from the language of question I think there must be at least one 9 <br />
<br />
hence I think the solution should be $\frac{9^{7}-8^{7}}{15^{7}}$Probabilityhttp://gateoverflow.in/109586/made-easy-test-seriesMon, 23 Jan 2017 08:06:26 +0000probability
http://gateoverflow.in/107943/probability
Consider four coins, three of which are fair, that is they have heads on one side and tails on the other and both are equally likely to occur in a toss. The fourth coin has tails on both sides. Given that one coin amongst the four is picked at random and is tossed, and the outcome is seen to be tail, what is the probability that its other side is headsProbabilityhttp://gateoverflow.in/107943/probabilityThu, 19 Jan 2017 12:37:58 +0000probability
http://gateoverflow.in/107872/probability
If two cards are drawn from a pack of 52 cards, which are diamonds. Using Poissons distribution find the probability of getting two diamonds at least 3 times in 51 consecutive trials of two cards drawing each time _________Probabilityhttp://gateoverflow.in/107872/probabilityThu, 19 Jan 2017 09:05:53 +0000virtual-gate-2017
http://gateoverflow.in/107733/virtual-gate-2017
<p>A country’s GDP grew by 7.8% within a period. During the same period the country’s per-capita-GDP (= ratio of GDP to the total population) increased by 10%. During this period, the total population of the country</p>
<p>
</p>
<table>
<thead>
<tr>
<th> </th>
<th> </th>
</tr>
</thead>
<tbody>
<tr>
<td> </td>
<td>
<p>(A) increased by 4%</p>
</td>
</tr>
<tr>
<td> </td>
<td>
<p>(B) decreased by 4%</p>
</td>
</tr>
<tr>
<td> </td>
<td>
<p>(C) increased by 2%</p>
</td>
</tr>
<tr>
<td> </td>
<td>
<p>(D) decreased by 2%</p>
</td>
</tr>
</tbody>
</table>
Numerical Abilityhttp://gateoverflow.in/107733/virtual-gate-2017Thu, 19 Jan 2017 01:02:18 +0000Virtual Gate 2016-mock-1 Question 55
http://gateoverflow.in/107383/virtual-gate-2016-mock-1-question-55
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=9340021440225560575"></p>Computer Networkshttp://gateoverflow.in/107383/virtual-gate-2016-mock-1-question-55Wed, 18 Jan 2017 08:54:07 +0000Virtual Gate 2016-mock-1 Question 37
http://gateoverflow.in/107380/virtual-gate-2016-mock-1-question-37
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12401454171743204172"></p>Probabilityhttp://gateoverflow.in/107380/virtual-gate-2016-mock-1-question-37Wed, 18 Jan 2017 08:51:55 +0000probability
http://gateoverflow.in/107324/probability
A dice is rolled 180 times using normal distribution, find the probability that face 4 will turn up at least 35 times.<br />
<br />
(1) 0.147<br />
<br />
(2) 0.158<br />
<br />
(3) 0.17<br />
<br />
(4) 0.2Mathematical Logichttp://gateoverflow.in/107324/probabilityWed, 18 Jan 2017 06:41:47 +0000probability
http://gateoverflow.in/107311/probability
Two cards are drawn from a pack of well shuffled deck of 52 cards one after the other withour replacement.The probability of first card being a spade and second a black king is<br />
<br />
(1) 1/104<br />
<br />
(2) 3/338<br />
<br />
(3) 25/2652<br />
<br />
(4) 26/2652Mathematical Logichttp://gateoverflow.in/107311/probabilityWed, 18 Jan 2017 06:06:22 +0000Maths: Probability Que011
http://gateoverflow.in/106961/maths-probability-que011
<p>(i) Three <span class="marker">identical </span>dice are rolled. the probability that the same number will appear on each of them is___
<br>
A. 1/6 B.1/36 C.1/18 D.3/28
<br>
<br>
(iI) Three <span class="marker">Distinct</span> dice are rolled. the probability that the same number will appear on each of them is___
<br>
<br>
</p>Probabilityhttp://gateoverflow.in/106961/maths-probability-que011Tue, 17 Jan 2017 13:20:51 +0000Gate-2006, CE
http://gateoverflow.in/106695/gate-2006-ce
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?<br />
<br />
can we do it by both hypergeometric as well as by binomial distribution?Probabilityhttp://gateoverflow.in/106695/gate-2006-ceTue, 17 Jan 2017 06:19:23 +0000Testbook
http://gateoverflow.in/106414/testbook
<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 +0000