GATE Overflow - Recent questions tagged engineering-mathematics
http://gateoverflow.in/tag/engineering-mathematics
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http://gateoverflow.in/109769/testbook
<p> How?</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=11541446028606472199"></p>
<p> </p>Mathematical Logichttp://gateoverflow.in/109769/testbookMon, 23 Jan 2017 12:14:49 +0000type of relation
http://gateoverflow.in/109601/type-of-relation
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=13405252837237460237"></p>
<p>how is it not transitive??</p>
<p>i mean take any time instant.ie x= 4:00 and y=4:20,z= 4:40..they are transitive..right??</p>Set Theory & Algebrahttp://gateoverflow.in/109601/type-of-relationMon, 23 Jan 2017 08:32:05 +0000Graph Theory Problem-Test Series
http://gateoverflow.in/108391/graph-theory-problem-test-series
A Connected Graph has Cut edge, Then Graph has Cut vertex also.<br />
<br />
1. True<br />
<br />
2. False<br />
<br />
Choose Correct One.Graph Theoryhttp://gateoverflow.in/108391/graph-theory-problem-test-seriesFri, 20 Jan 2017 14:59:48 +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 +0000When they don't mention type of tree then if it's mandatory to take 'Binary Tree'(Check Description)
http://gateoverflow.in/107483/when-mention-mandatory-take-binary-tree-check-description
<p><span class="marker">The minimum number of vertices having degree 1 in a tree of at least 10 vertices is ______________.</span></p>
<p>If we consider this question, then first answer comes in our mind is '2', right?</p>
<p>But what if Tree isn't binary?</p>
<p> if root node has 9 leaf nodes, so all those nodes having degree 1, right? So answer could be:<strong>9</strong></p>Graph Theoryhttp://gateoverflow.in/107483/when-mention-mandatory-take-binary-tree-check-descriptionWed, 18 Jan 2017 12:52:13 +0000Graph Theory
http://gateoverflow.in/107480/graph-theory
Let G be a undirected graph with 35 edges and degree of each vertex is at least 3 then maximum number of vertices possible in G is<br />
<br />
(A) 22<br />
(B) 23<br />
(C) 24<br />
(D) 25<br />
<br />
P.S. Explain with ease, if possible!Graph Theoryhttp://gateoverflow.in/107480/graph-theoryWed, 18 Jan 2017 12:45:46 +0000Maths
http://gateoverflow.in/107357/maths
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12262461487291332204"></p>Mathematical Logichttp://gateoverflow.in/107357/mathsWed, 18 Jan 2017 08:08:08 +0000mock1 ace
http://gateoverflow.in/107257/mock1-ace
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=17452686636447254391"></p>
<p>How to solve this?</p>Mathematical Logichttp://gateoverflow.in/107257/mock1-aceWed, 18 Jan 2017 00:35:51 +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 +0000What is the expected length of the cycle containing vertex 1?
http://gateoverflow.in/106462/what-is-the-expected-length-of-the-cycle-containing-vertex-1
<p>A random permutation π of set[n] = {1, 2, …, n} can be represent by a directed graph on n vertices with directed arc (i, π<sub>i</sub>) where π<sub>i</sub> is the i<sup>th</sup> entry in the permutation. Observe that the resulting graph is just a collection of disjoint cycles.
<br>
What is the expected length of the cycle containing vertex 1?</p>
<ol>
<li> n(n-1)/2n</li>
<li> (n+1)/2n</li>
<li> ((n-1))/2</li>
<li> ((n+1))/2</li>
</ol>
<p> </p>
<p>/pls explain the question </p>Graph Theoryhttp://gateoverflow.in/106462/what-is-the-expected-length-of-the-cycle-containing-vertex-1Mon, 16 Jan 2017 13:54:25 +0000Integration
http://gateoverflow.in/106245/integration
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$Mathematical Logichttp://gateoverflow.in/106245/integrationMon, 16 Jan 2017 06:56:40 +0000Perfect Matching for a graph
http://gateoverflow.in/105858/perfect-matching-for-a-graph
<table style="width:100%">
<tbody>
<tr>
<td>Find the number of perfect matching of the graph
<br>
<img alt="Image not present" src="http://s3-ap-southeast-1.amazonaws.com/gate-content-images/data/images/common/papers/partners/34/580/image031.png"></td>
</tr>
</tbody>
</table>
<p>Your Answer:
<br>
<br>
105
<br>
<br>
Correct Answer: 9 Status: incorrect</p>Mathematical Logichttp://gateoverflow.in/105858/perfect-matching-for-a-graphSun, 15 Jan 2017 11:49:48 +0000LINEAR ALGEBRA
http://gateoverflow.in/104762/linear-algebra
<p><strong>IS ZERO THE ONLY EIGEN VALUE OF SINGULAR MATRICES??</strong></p>Mathematical Logichttp://gateoverflow.in/104762/linear-algebraThu, 12 Jan 2017 19:50:32 +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 +0000Maths: Limit
http://gateoverflow.in/102721/maths-limit
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=14417780580915599707"></p>Calculushttp://gateoverflow.in/102721/maths-limitSun, 08 Jan 2017 13:23:45 +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 +0000ace-test-series subject-test
http://gateoverflow.in/101875/ace-test-series-subject-test
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=4802044033138005459"></p>
<p>After taking |A|=0, I am getting x<sup>3</sup>+1=0 and not x<sup>3</sup>-1=0.
<br>
Is it x<sup>3</sup>+1=0 or x<sup>3</sup>-1=0?</p>Mathematical Logichttp://gateoverflow.in/101875/ace-test-series-subject-testSat, 07 Jan 2017 04:20:23 +0000maths
http://gateoverflow.in/101844/maths
<p>When the curves, y = log<sub>10</sub>x and y = x<sup>–1</sup> are drawn in x – y plane. The number of times they intersect for values x ≥ 1 is ________.</p>Mathematical Logichttp://gateoverflow.in/101844/mathsSat, 07 Jan 2017 02:35:46 +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 +0000consider the set and find corresponding
http://gateoverflow.in/101335/consider-the-set-and-find-corresponding
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10486353852355632019"></p>Mathematical Logichttp://gateoverflow.in/101335/consider-the-set-and-find-correspondingFri, 06 Jan 2017 05:10:36 +0000Counting: no. Binary Relations
http://gateoverflow.in/99336/counting-no-binary-relations
How many different binary relations on a set with 4 elements____________? Please explain<br />
<br />
Given Ans: 4294967296Combinatoryhttp://gateoverflow.in/99336/counting-no-binary-relationsMon, 02 Jan 2017 05:04:30 +0000How this statement is true
http://gateoverflow.in/99316/how-this-statement-is-true
How this is true ?<br />
<br />
$_{r}^{\frac{n(n-1)}{2}}\textrm{C} = 2^{\frac{n(n-1))}{2}}$Graph Theoryhttp://gateoverflow.in/99316/how-this-statement-is-trueMon, 02 Jan 2017 04:12:10 +0000A graph $G$ is Eulerian path iff degree of each vertex is even with atmost one trivial component
http://gateoverflow.in/98763/graph-eulerian-degree-vertex-with-atmost-trivial-component
<p>For this proof ,proving</p>
<p>$\Rightarrow$ If Graph $G$ is eulerian then degree of each vertex is even with atmost one trivial component.</p>
<p>As $G$ is Eulerian ,it means it **must not** repeat Edges but can repeat vertices.Now for the Eulerian (path) traversal ,we pass through that vertex using two incident edges,one for entry and other for exit.</p>
<p> </p>
<p> </p>
<p>Then what is wrong in this graph?</p>
<p> </p>
<p><img alt="" height="174" src="http://gateoverflow.in/?qa=blob&qa_blobid=9141544755438812825" width="468"></p>
<p> </p>
<p>Here we have Eulerian path traversal as</p>
<p>
<br>
$C\rightarrow A \rightarrow B \rightarrow D \rightarrow C \rightarrow F \rightarrow E \rightarrow H \rightarrow G \rightarrow F $</p>
<p>but here degree of $C,F =3$ contradictory....</p>
<p>
<br>
help me out where i am wrong</p>
<p> </p>Graph Theoryhttp://gateoverflow.in/98763/graph-eulerian-degree-vertex-with-atmost-trivial-componentSat, 31 Dec 2016 07:28:13 +0000Mean Value Theorem Question(Explain the concept)
http://gateoverflow.in/98083/mean-value-theorem-question-explain-the-concept
A rail engine accelerates from its stationary position for 8 seconds and travels a distance of 280m. According to the Mean Value Theorem, the speedometer at a certain time during acceleration must read exactly.<br />
<br />
(A) 0km/h<br />
<br />
(B) 8km<br />
<br />
(C) 75km/h<br />
<br />
(D) 126km/hCalculushttp://gateoverflow.in/98083/mean-value-theorem-question-explain-the-conceptThu, 29 Dec 2016 10:12:20 +0000VG: Linear Algebra
http://gateoverflow.in/97808/vg-linear-algebra
<p>Please solve this question. (D) is given answer by virtual gate.
<br>
<img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=2266902062139119137"></p>Linear Algebrahttp://gateoverflow.in/97808/vg-linear-algebraWed, 28 Dec 2016 15:40:40 +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 +0000Maths: Mean Value Theroem
http://gateoverflow.in/97079/maths-mean-value-theroem
Is following function Satisfy Lagrange's Mean Value Theroem?<br />
f(x) = | x+2 | in [-2, 0]<br />
<br />
Detailed solution PLEASE!Calculushttp://gateoverflow.in/97079/maths-mean-value-theroemMon, 26 Dec 2016 18:10:59 +0000Maths: Continuity and Differntiability
http://gateoverflow.in/96987/maths-continuity-and-differntiability
The function f(x) = 1/(1+|x|) is____<br />
<br />
(A) Differntiable and Continuous<br />
(B) Not Differntiable and Not Continuous<br />
(C) Continuous but not Differntiable<br />
<br />
I know this is continuous everywhere because |X| will always be a positive value, how to check if it's differntiable or not?Calculushttp://gateoverflow.in/96987/maths-continuity-and-differntiabilityMon, 26 Dec 2016 13:07:15 +0000Maths: Differentiability
http://gateoverflow.in/96940/maths-differentiability
The function y=|2-3x| is not differential at x=2/3, please prove it.Calculushttp://gateoverflow.in/96940/maths-differentiabilityMon, 26 Dec 2016 11:20:30 +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 +0000E = 2N -3
http://gateoverflow.in/96274/e-2n-3
<p>I read in <a rel="nofollow" href="http://gateoverflow.in/28955/given-vertex-edges-how-find-non-isomorphic-graphs-possible">http://gateoverflow.in/28955/given-vertex-edges-how-find-non-isomorphic-graphs-possible</a> question explanantion,it was written that e=2n-3 where e= number of edges and n is no of vertices.</p>
<p>how is it derived??can anyone tell me the source??</p>Graph Theoryhttp://gateoverflow.in/96274/e-2n-3Sat, 24 Dec 2016 15:57:38 +0000Is partial derivatives and euler's theorem (related to partial derivatives) in syllabus?
http://gateoverflow.in/96198/partial-derivatives-theorem-related-derivatives-syllabus
Is partial derivatives and euler's theorem in syllabus?<br />
Please clarify if any idea.Calculushttp://gateoverflow.in/96198/partial-derivatives-theorem-related-derivatives-syllabusSat, 24 Dec 2016 11:55:20 +0000Maths: Differntiability
http://gateoverflow.in/95835/maths-differntiability
<p>Please provide a detaield solution:
<br>
<img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=3525118245086833758"></p>Calculushttp://gateoverflow.in/95835/maths-differntiabilityFri, 23 Dec 2016 12:45:22 +0000Continuity
http://gateoverflow.in/94566/continuity
<p>What should be the value of <span class="marker">a</span>,<span class="marker">b </span>and <span class="marker">c </span>such that the function defined below is continuous at x=0 ?</p>
<p>
<br>
$f\left ( x \right )=\begin{Bmatrix} \left ( 1+ax \right )^{\frac{1}{x}} & x<0 & \\ b & x=0& \\ \frac{(x+c)^{\frac{1}{3}}-1}{x} &x>0 & \end{Bmatrix}$</p>Calculushttp://gateoverflow.in/94566/continuityMon, 19 Dec 2016 21:16:54 +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 +0000Matrix characteristic Equation:Eigen Values
http://gateoverflow.in/94041/matrix-characteristic-equation-eigen-values
<p><img alt="" height="133" src="http://gateoverflow.in/?qa=blob&qa_blobid=10070686958280366266" width="714"></p>Linear Algebrahttp://gateoverflow.in/94041/matrix-characteristic-equation-eigen-valuesSun, 18 Dec 2016 12:19:28 +0000maths solve
http://gateoverflow.in/93744/maths-solve
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=8984256402334448689"></p>Combinatoryhttp://gateoverflow.in/93744/maths-solveSat, 17 Dec 2016 13:09:24 +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 +0000made easy
http://gateoverflow.in/93026/made-easy
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=6714508373096793374"></p>
<p>can we use some identity to find value of ab+by+ya???without finding its eigen values and then multiplying..earlier i have read it somewhere but i forget it.</p>Linear Algebrahttp://gateoverflow.in/93026/made-easyThu, 15 Dec 2016 12:41:48 +0000ME Full Syllabus Test
http://gateoverflow.in/93003/me-full-syllabus-test
<p>Which of the following is true?</p>
<ul>
<li>Every lower triangular matrix is group under multiplication operation where all elements of diagonal are non zero numbers.</li>
<li>Every diagonal matrix is group under multiplication operation, where all elements of diagonal are non zero numbers.</li>
<li><img alt="" src="https://s3-ap-southeast-1.amazonaws.com/gw-mdsy/student/images/wrong.gif">Every matrix is Abelian under addition operation where all elements are real numbers.</li>
<li><img alt="" src="https://s3-ap-southeast-1.amazonaws.com/gw-mdsy/student/images/wright.gif">Both (a) and b)</li>
</ul>
<p>Why is C incorrect?</p>Linear Algebrahttp://gateoverflow.in/93003/me-full-syllabus-testThu, 15 Dec 2016 11:45:23 +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 +0000graph
http://gateoverflow.in/92032/graph
Which of the following statements is/are TRUE?<br />
[P] Every disconnected graph has an isolated vertex<br />
[Q] A graph is connected if and only if some vertex is connected to all other vertices<br />
[R] The edge set of every closed trail can be partitioned into edge sets of cycles<br />
[S] If a maximal trail in a graph is not closed, then its endpoints have odd degreeGraph Theoryhttp://gateoverflow.in/92032/graphMon, 12 Dec 2016 10:50:24 +0000binomial theorem and expansions
http://gateoverflow.in/91878/binomial-theorem-and-expansions
<p>can anyone please explain these things:</p>
<p>formula for (1-x)<sup>n</sup></p>
<p>formula for 1/(1-x)<sup>n</sup></p>
<p>general term in expansion of (1-x)<sup>n </sup>and 1/(1-x)<sup>n</sup></p>
<p>and coeffecient of a term in these expansions.</p>
<p>please elaborate a little because i have read few questions on generating functions and binomial where these things are used but i am getting very confused.i dun know much about them and gathering info from internet is also confusing me.</p>Combinatoryhttp://gateoverflow.in/91878/binomial-theorem-and-expansionsSun, 11 Dec 2016 20:23:48 +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 +0000