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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 +0000ISRO2014-EC Mathematics
http://gateoverflow.in/119647/isro2014-ec-mathematics
<p>Match the following:</p>
<p>A Gaussian distribution 1 Calls on a telephone channel</p>
<p>B Rayleigh distribution 2 Random number</p>
<p>C Poisson distribution 3 Thermal noise</p>
<p>D Uniform distribution 4 Fading channel in wireless communication</p>
<hr>
<p>
<br>
A) A-3, B-1, C-4, D-2</p>
<p>B) A-3, B-4, C-2, D-1</p>
<p>C) A-1, B-4, C-3, D-2</p>
<p>D) A-3, B-4, C-1, D-2</p>
<p> </p>Probabilityhttp://gateoverflow.in/119647/isro2014-ec-mathematicsWed, 22 Feb 2017 10:23:36 +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 +0000ISI 2016A1
http://gateoverflow.in/119499/isi-2016a1
A standard deck of cards, containing 13 cards in each of 4 suites,<br />
is distributed equally among 4 players.<br />
(a) Show that each player must have at least 4 cards of the same<br />
suite. [5]<br />
(b) Define data structures to represent (i) the deck of cards, and<br />
(ii) a distribution of the cards to the four players. [5]<br />
(c) Using your data structures, write an algorithm which<br />
distributes the deck of cards one by one to the four<br />
players in a cyclical manner. [5Probabilityhttp://gateoverflow.in/119499/isi-2016a1Mon, 20 Feb 2017 16:23:14 +0000GATE2017-2-48
http://gateoverflow.in/118513/gate2017-2-48
<p>If a random variable X has a Poisson distribution with mean 5, then the expectation E[(X+2)<sup>2</sup>] equals ___.</p>Probabilityhttp://gateoverflow.in/118513/gate2017-2-48Tue, 14 Feb 2017 08:31:08 +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 ME-2017 mean value
http://gateoverflow.in/115861/gate-me-2017-mean-value
A fair six faced die is rolled many times. The mean of outcomes is __________Probabilityhttp://gateoverflow.in/115861/gate-me-2017-mean-valueSat, 04 Feb 2017 14:55:07 +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 +0000How to calculate standard deviation for Normal Distribution calculations using Gate Virtual Calculator?
http://gateoverflow.in/115242/calculate-deviation-distribution-calculations-calculator
Ex. I want to calculate :<br />
<br />
P(21.11<x<26.66) = P(.33<z<2)<br />
<br />
= 0.4772 - 0.1293<br />
<br />
= 0.3497<br />
<br />
<br />
<br />
How to get 0.4772 and 0.1293?Probabilityhttp://gateoverflow.in/115242/calculate-deviation-distribution-calculations-calculatorFri, 03 Feb 2017 10:06:42 +0000probability
http://gateoverflow.in/115009/probability
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=7470174834792035749"></p>Probabilityhttp://gateoverflow.in/115009/probabilityThu, 02 Feb 2017 18:18:48 +0000Testbook 4 Q.no-41
http://gateoverflow.in/112692/testbook-4-q-no-41
<p>#plz explain??<img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=11971320695597998489"></p>Probabilityhttp://gateoverflow.in/112692/testbook-4-q-no-41Sat, 28 Jan 2017 20:26:57 +0000Poisson or Binomial distribution
http://gateoverflow.in/112444/poisson-or-binomial-distribution
If 20 markers are drawn from a large number of markers in which 10% are red markers. What is the probability that the number of red markers drawn exceeds the expected number of red markers. (Use Poisson approximation and Binomial theorem). (Upto 3 decimal places)<br />
<br />
the answer should be P(x>2) = 1- P(x=0)- P(x=1)- P(x=2) right?Probabilityhttp://gateoverflow.in/112444/poisson-or-binomial-distributionSat, 28 Jan 2017 12:00:25 +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/108713/probability
Suppose that a link between two telephone offices has 50 (Fifty) repeaters.<br />
Suppose that the probability that a repeater fails during a year is 0.01, and<br />
that repeaters fail independently of each other.<br />
<br />
Suppose to reduce overall link cost we took a decision to reduce the number<br />
of repeaters from 50 (Fifty) to 10 (Ten), calculate the probability that single<br />
repeater does not fail during one year will be :<br />
(A) 0.110 (B) 0.120<br />
(C) 0.990 (D) 0.001Probabilityhttp://gateoverflow.in/108713/probabilitySat, 21 Jan 2017 10:38:46 +0000probability
http://gateoverflow.in/108712/probability
Suppose that a link between two telephone offices has 50 (Fifty) repeaters.<br />
Suppose that the probability that a repeater fails during a year is 0.01, and<br />
that repeaters fail independently of each other.<br />
Q In one year, what is the probability that link does not fail at all will be<br />
approximately :<br />
(A) 0.605 (B) 0.011<br />
(C) 0.901 (D) 0.995Probabilityhttp://gateoverflow.in/108712/probabilitySat, 21 Jan 2017 10:36:59 +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 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 +0000Testbook
http://gateoverflow.in/106968/testbook
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=1097749025159929547"></p>Probabilityhttp://gateoverflow.in/106968/testbookTue, 17 Jan 2017 13:26:24 +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 +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 +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 +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 +0000Poisson Distribution Problem
http://gateoverflow.in/103721/poisson-distribution-problem
<p><img alt="" height="180" src="http://gateoverflow.in/?qa=blob&qa_blobid=6116508025690535645" width="754"></p>Probabilityhttp://gateoverflow.in/103721/poisson-distribution-problemTue, 10 Jan 2017 17:41:11 +0000probability
http://gateoverflow.in/102674/probability
Suppose Xi for i=1,2,3 are independent and identically distributed random variables whose probability mass functions are Pr[Xi=0]=Pr[Xi=1]=12 for i=1,2,3. Define another random variable Y=X1X2⊕X3, where ⊕ denotes XOR. Then Pr[Y=0∣X3=0]=______.Probabilityhttp://gateoverflow.in/102674/probabilitySun, 08 Jan 2017 12:23:06 +0000probability
http://gateoverflow.in/102670/probability
<p>Let S be a sample space and two mutually exclusive events Aand B be such that A∪B=A∪B=S. If P(.)denotes the <a rel="nofollow" href="http://gateoverflow.in/2082/gate2014-3_48#">probability</a> of the event, the maximum value of P(A)P(B) is_____.</p>Probabilityhttp://gateoverflow.in/102670/probabilitySun, 08 Jan 2017 12:14:53 +0000ace-test-series
http://gateoverflow.in/101887/ace-test-series
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10593045386689658062"></p>
<p>According to my understanding, there should be men and women both in the team. So we can do:
<br>
3M and 1W or
<br>
2M and 2W or
<br>
1M and 3W.</p>
<p>So it will be: C(5,3)*C(5,1)+C(5,2)*C(5,2)+C(5,1)*C(5,3).</p>
<p>But the answer given is 600. How is it possible?</p>Probabilityhttp://gateoverflow.in/101887/ace-test-seriesSat, 07 Jan 2017 05:08:07 +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 +0000U and V are two independent zero mean Gaussian random variables of variances 1/4 and 1/ 9. The probability P(3V 2U) is
http://gateoverflow.in/101404/independent-gaussian-random-variables-variances-probability
Probabilityhttp://gateoverflow.in/101404/independent-gaussian-random-variables-variances-probabilityFri, 06 Jan 2017 07:03:30 +0000Help me to understand the question
http://gateoverflow.in/99287/help-me-to-understand-the-question
<p>Suppose <em>X</em><em>i</em> for <em>i</em>=1,2,3 are independent and identically distributed random variables whose probability mass functions are <em>P</em><em>r</em>[<em>X</em><em>i</em>=0]=<em>P</em><em>r</em>[<em>X</em><em>i</em>=1]=1/2 for <em>i</em>=1,2,3. Define another random variable <em>Y</em>=<em>X</em>1<em>X</em>2⊕<em>X</em>3, where ⊕ denotes XOR. Then <em>P</em><em>r</em>[<em>Y</em>=0∣<em>X</em>3=0]=_</p>
<p>I got answer but not question .</p>
<p>can nyone describe only question ?</p>Probabilityhttp://gateoverflow.in/99287/help-me-to-understand-the-questionMon, 02 Jan 2017 00:45:14 +0000Poisson Distribution
http://gateoverflow.in/98952/poisson-distribution
If 20 markers are drawn from a large number of markers in which 10% are red markers. What is the probability that the number of red markers drawn exceeds the expected number of red markers. (Use Poisson approximation and Binomial theorem). (Upto 3 decimal places)Probabilityhttp://gateoverflow.in/98952/poisson-distributionSat, 31 Dec 2016 16:22:53 +0000Probability
http://gateoverflow.in/98782/probability
<p><em>In a boxing tournament 2<sup>n</sup> equally skilled players P<sub>1</sub>,P<sub>2</sub>,P<sub>3</sub>...........P<sub>$2^{n}$</sub>, are participating.</em></p>
<p><em>In each round players are divided in pairs at random and winner from each pair moves in next round. If P<sub>5</sub> reaches the semifinals then what is the probability that P<sub>1</sub> wins the tournament?</em></p>
<p><em>A. $(\frac{1}{2})^{logn}$</em></p>
<p><em>B. $\frac{2^{logn-1}}{2^{n}-1}$</em></p>
<p><em>C. $\frac{3}{4} * \frac{1}{2^{n}-1}$</em></p>
<p><em>D. $\frac{7}{8} * \frac{1}{2^{n}-1}$</em></p>Probabilityhttp://gateoverflow.in/98782/probabilitySat, 31 Dec 2016 08:05:38 +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 +0000http://gateoverflow.in/1177/gate2005-52
http://gateoverflow.in/98157/http-gateoverflow-in-1177-gate2005-52
How many 2 strings of length n are generated by tossing a coin n times?(Setting value 0 or 1)<br />
<br />
Is it (2^n+2^n) or (2^n*2^n)?Probabilityhttp://gateoverflow.in/98157/http-gateoverflow-in-1177-gate2005-52Thu, 29 Dec 2016 15:35:46 +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/97608/probability
<p>1)For three events A, B and C, we know that</p>
<ul>
<li>A and C are independent
<br>
B and C are independent
<br>
A and B are disjoint
<br>
P(A∪C)=2/3 P(B∪C)=3/4 P(A∪B∪C)=11/12</li>
</ul>
<p>
<br>
P(A)=___________ ans 1/3</p>
<p> </p>
<p>2)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? ans 2/5</p>
<p> </p>Probabilityhttp://gateoverflow.in/97608/probabilityWed, 28 Dec 2016 05:41:14 +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 +0000virtual gate
http://gateoverflow.in/97530/virtual-gate
If we take out two Aces from a standard deck of 52 cards. How many ways are there to select three more cards from the remaining 50, in such a way that the five cards together form a full house (3 of one kind, 2 of another)?Probabilityhttp://gateoverflow.in/97530/virtual-gateTue, 27 Dec 2016 18:49:05 +0000