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Webpage for Probability
Recent questions tagged probability
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721
Probability by Blitztein
Martin and Gale play an exciting game of "toss the coin," where they toss a fair coin until the pattern HH occurs (two consecutive Heads) or the pattern TH occurs (Tails followed immediately by Heads). Martin wins the game if and only if HH occurs before TH occurs. Who is less or more likely to win?
Martin and Gale play an exciting game of "toss the coin," where they toss a fair coin until the pattern HH occurs (two consecutive Heads) or the pattern TH occurs (Tails ...
mohitjarvissharma
2.2k
views
mohitjarvissharma
asked
Jul 21, 2018
Probability
probability
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0
votes
1
answer
722
me test
A simple graph with n vertices is constructed by randomly and independently placing an edge between every two vertices with probability p. What is the expected no. of nodes with degree 2?
A simple graph with n vertices is constructed by randomly and independently placing an edge between every two vertices with probability p. What is the expected no. of nod...
ronin_codex
464
views
ronin_codex
asked
Jul 17, 2018
Graph Theory
probability
graph-theory
expectation
simple-graph
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1
votes
1
answer
723
UGC NET CSE | July 2018 | Part 2 | Question: 25
A text is made up of the characters A, B, C, D, E each occurring with the probability 0.08, 0.40, 0.25, 0.15 and 0.12 respectively. The optimal coding will have the average length of 2.4 1.87 3.0 2.15
A text is made up of the characters A, B, C, D, E each occurring with the probability 0.08, 0.40, 0.25, 0.15 and 0.12 respectively. The optimal coding will have the avera...
Pooja Khatri
3.0k
views
Pooja Khatri
asked
Jul 13, 2018
Probability
ugcnetcse-july2018-paper2
probability
binary-tree
data-structures
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0
votes
3
answers
724
UGC NET CSE | July 2018 | Part 2 | Question: 80
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability distribution? 2, 598, 960 3, 468, 960 3, 958, 590 2, 645, 590
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability dis...
Pooja Khatri
3.8k
views
Pooja Khatri
asked
Jul 13, 2018
Probability
ugcnetcse-july2018-paper2
probability
+
–
0
votes
2
answers
725
UGC NET CSE | July 2018 | Part 2 | Question: 84
Digital data received from a sensor can fill up 0 to 32 buffers. Let the sample space be $S=\{ 0, 1, 2, \dots , 32\}$ where the sample $j$ denote that $j$ of the buffers are full and $p(i) = \frac{1}{562}(33-i)$. Let A denote the event that the even number of buffers are full. Then $P(A)$ is 0.515 0.785 0.758 0.485
Digital data received from a sensor can fill up 0 to 32 buffers. Let the sample space be $S=\{ 0, 1, 2, \dots , 32\}$ where the sample $j$ denote that $j$ of the buffers ...
Pooja Khatri
3.0k
views
Pooja Khatri
asked
Jul 13, 2018
Probability
ugcnetcse-july2018-paper2
probability
+
–
0
votes
0
answers
726
Query regarding cumulative distribution function
I was reading cumulative distribution function from sheldon ross and I had a doubt regarding one of it's properties. The following are properties of the cumulative distribution function for a random variable X (1)F is a non-decreasing function, ... $4^{th}$ property actually mean can anyone explain?
I was reading cumulative distribution function from sheldon ross and I had a doubt regarding one of it's properties.The following are properties of the cumulative distrib...
Ayush Upadhyaya
204
views
Ayush Upadhyaya
asked
Jul 11, 2018
Mathematical Logic
probability
cumulative-distribution-function
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0
votes
2
answers
727
Uniform Random variable-Self Doubt
I was reading the uniform random variable from sheldon ross it is given that X is a uniform random variable on the interval $(\alpha,\beta)$ ... My query is how they derived the distribution function from the density function?
I was reading the uniform random variable from sheldon rossit is given that X is a uniform random variable on the interval $(\alpha,\beta)$ if the probability density fun...
Ayush Upadhyaya
746
views
Ayush Upadhyaya
asked
Jul 8, 2018
Probability
random-variable
probability
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0
votes
1
answer
728
What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?
Ans :How answer is ((1C1)(1C1)(50C3))/(52C5)?
sunil sarode
1.8k
views
sunil sarode
asked
Jul 7, 2018
Mathematical Logic
probability
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–
0
votes
0
answers
729
Probability-Sheldon Ross(Self Doubt)
I was reading probability from Sheldon Ross and found below example. A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect 3 components from a lot and to accept the lot if all the 3 are nondefective. If 30 percent of ... why they have multiplied it with $\frac{3}{10}$ in the first part and $\frac{7}{10}$ in the second?
I was reading probability from Sheldon Ross and found below example.A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect 3 compo...
Ayush Upadhyaya
1.6k
views
Ayush Upadhyaya
asked
Jul 7, 2018
Probability
probability
sheldon-ross
random-variable
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0
votes
0
answers
730
Probability-Sheldon Ross
An ordinary deck of 52 playing cards is randomly divided into 4 piles of 13 cards each. Compute the probability that each pile has exactly 1 ace.
An ordinary deck of 52 playing cards is randomly divided into 4 piles of 13 cards each. Compute the probability that each pile has exactly 1 ace.
Ayush Upadhyaya
698
views
Ayush Upadhyaya
asked
Jul 6, 2018
Probability
probability
sheldon-ross
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–
1
votes
0
answers
731
interview IIsc
Given a deck of 10 cards numbered 1 to 10. Select 3 cards one by one. Find the probability that selected cards is in increasing order. Eg : {1, 5, 7} or {8, 9, 10} etc
Given a deck of 10 cards numbered 1 to 10. Select 3 cards one by one. Find the probability that selected cards is in increasing order. Eg : {1, 5, 7} or {8, 9, 10} etc
Rishav Kumar Singh
287
views
Rishav Kumar Singh
asked
Jun 30, 2018
Probability
probability
combinatory
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1
votes
1
answer
732
self doubt
Raj tossed 3 dices and their results are noted down then what is the probability that Raj gets 10? I know the simple way to count the total favorable number of condition divide by (6^3). But it is time-consuming to solve in the examination to count one by one favorable condition. So, solve by some short trick and give a generalized the formulae.
Raj tossed 3 dices and their results are noted down then what is the probability that Raj gets 10?I know the simple way to count the total favorable number of condition d...
Raj Kumar 7
716
views
Raj Kumar 7
asked
Jun 13, 2018
Quantitative Aptitude
probability
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0
votes
2
answers
733
probability ques
Sambit Kumar
515
views
Sambit Kumar
asked
Jun 11, 2018
Probability
probability
+
–
1
votes
1
answer
734
GATE Suitability Test | Test 1 | Question: 3
A coin is such that after every toss the probability of same side coming again increases by $50\%$ from the initial value. If initially the probability of head and tail are the same, what is the expected number of tosses until we get a head?
A coin is such that after every toss the probability of same side coming again increases by $50\%$ from the initial value. If initially the probability of head and tail a...
Arjun
327
views
Arjun
asked
Jun 10, 2018
Probability
gate-suitability-test-1
expectation
probability
numerical-answers
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1
votes
2
answers
735
GATE Suitability Test | Test 1 | Question: 5
In a group of 11 people what is the probability that exactly two people have birthday on same day ?
In a group of 11 people what is the probability that exactly two people have birthday on same day ?
Arjun
520
views
Arjun
asked
Jun 10, 2018
Probability
gate-suitability-test-1
probability
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0
votes
1
answer
736
Gate_2019_Mock_Paper
Please explain
Please explain
Harikesh Kumar
275
views
Harikesh Kumar
asked
Jun 7, 2018
Probability
probability
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0
votes
2
answers
737
Sheldon ross -Conditional probability
Prateek Raghuvanshi
684
views
Prateek Raghuvanshi
asked
Jun 6, 2018
Mathematical Logic
sheldon-ross
probability
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–
0
votes
0
answers
738
Random
There are 6 pairs of black socks and 6 pairs of white socks.What is the probability to pick a pair of black or white socks when 2 socks are selected randomly in darkness. My thoughts: Since there have asked for probability to pick a "pair", we must consider those ... 6C1)/ 24C2 + (6C1 * 6C1)/ 24C2 = 6/23 Which is the correct approach and why? Why am I getting different results?
There are 6 pairs of black socks and 6 pairs of white socks.What is the probability to pick a pair of black or white socks when 2 socks are selected randomly in darkness....
Warlock lord
347
views
Warlock lord
asked
Jun 5, 2018
Combinatory
probability
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–
0
votes
0
answers
739
Made easy test
Consider Ramesh purchase a product of Patanjali. The manual on it states that the lifetime $T$ of product is defined as the amount of time (in years) the product works properly until it breaks down, satisfy following equation : $P(T \geq t) = e^{-t/4}, \text{for all } t \geq 0$ The probability that it breaks down in $3^{rd}$ year is ______. (Upto $2$ decimal places)
Consider Ramesh purchase a product of Patanjali. The manual on it states that the lifetime $T$ of product is defined as the amount of time (in years) the product works pr...
saumya mishra
413
views
saumya mishra
asked
May 31, 2018
Probability
engineering-mathematics
probability
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–
0
votes
2
answers
740
Probability
The chances that doctor A will diagnose a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chances of death by wrong diagnosis is 70%. A patient of doctor A, who had disease X, died. The chances that his disease was diagnosed correctly is ________%.
The chances that doctor A will diagnose a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chances ...
srestha
1.8k
views
srestha
asked
May 24, 2018
Probability
probability
engineering-mathematics
+
–
5
votes
1
answer
741
Quick Sort- Algorithm
Let $0<α<.5$ be some constant (independent of the input array length $n$). What is the probability that, with a randomly chosen pivot element, the Partition subroutine produces a split in which the size of the smaller of the two subarrays is $≥α$ times the size of the original array? 1. $1 - 2*\alpha$ 2. $\alpha$ 3. $1 - \alpha$ 4. $2 - 2*\alpha$
Let $0<α<.5$ be some constant (independent of the input array length $n$). What is the probability that, with a randomly chosen pivot element, the Partition subroutine p...
Shailin Shah
1.8k
views
Shailin Shah
asked
May 23, 2018
Algorithms
algorithms
probability
quick-sort
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–
0
votes
0
answers
742
Probability Density Function
Given a probability density function $\frac{1}{x}$. Value exists in the interval $\left ( 2,3 \right )$ Can this pdf has existence outside this range?
Given a probability density function $\frac{1}{x}$. Value exists in the interval $\left ( 2,3 \right )$Can this pdf has existence outside this range?
srestha
315
views
srestha
asked
May 18, 2018
Probability
probability
engineering-mathematics
+
–
0
votes
3
answers
743
#cds-sampleTest
One in two hundred people in a population have a particular disease. A test is developed for the disease. The test gives a false positive $3\%$ of the time (i.e. reports that a person has the disease even when he/she does not), and a false ... disease even when he/she does). Rahul takes the test and the report comes positive. What is the probability that Rahul has the disease?
One in two hundred people in a population have a particular disease. A test is developed for the disease. The test gives a false positive $3\%$ of the time (i.e. reports ...
parulk
959
views
parulk
asked
May 17, 2018
Probability
engineering-mathematics
probability
+
–
1
votes
1
answer
744
CMI 2018 Objective
Suppose Kn be the number of strings having n X's and n Y's such that in all the prefixes of a string the number of X's is greater than the number of Y's. Now suppose you are standing at an edge of a swimming pool. You have a bag of n red and n blue balls.Now ... probability that you will not get wet. A) Kn / (2nCn) B) n Kn / (2nCn) C) Kn / (2n)! d) n kn / 22n
Suppose Kn be the number of strings having n X's and n Y's such that in all the prefixes of a string the number of X's is greater than the number of Y's.Now suppose you a...
Sammohan Ganguly
464
views
Sammohan Ganguly
asked
May 16, 2018
Probability
probability
usercmi2018
usermod
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0
votes
1
answer
745
Regarding Preparation
I know this question has been asked many times, but yeah. I am weak in calculus and linear algebra and have never studied probability properly. Now according to internet suggestions, I should read Kreyzig or BS Grewal, but I will most probably want ... time for GATE 2019 should i watch lectures of Gilbert Strang, Stats 110 and calculus textbook, or should i stick to kreyzig?
I know this question has been asked many times, but yeah. I am weak in calculus and linear algebra and have never studied probability properly. Now according to internet ...
mohitjarvissharma
610
views
mohitjarvissharma
asked
May 11, 2018
Calculus
engineering-mathematics
calculus
linear-algebra
probability
preparation
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–
1
votes
2
answers
746
Modification of GATE question
A coin tossed 3 times 1) if output at last two toss is $HT$ then stop tossing 2) if output of last two toss is $TT$ then toss again and go to step 1 or step 3 3) if output of last two toss is $TH$ or $HH$ then toss again and goto step 2 What will be probability, that at last the coin will stop tossing?
A coin tossed 3 times1) if output at last two toss is $HT$ then stop tossing2) if output of last two toss is $TT$ then toss again and go to step 1 or step 33) if output...
srestha
803
views
srestha
asked
May 9, 2018
Probability
probability
+
–
0
votes
0
answers
747
IIT M Written : Probability
An experiment is performed $n$ times, in each of which an event $X$ may occur with a probability $p$. Determine$ E[ \overline{X}]$ and $Var( \overline{X})$, where $\overline{X} $is the complement of the event $X$
An experiment is performed $n$ times, in each of which an event $X$ may occur with a probability $p$. Determine$ E[ \overline{X}]$ and $Var( \overline{X})$, where $\overl...
Sourajit25
262
views
Sourajit25
asked
May 7, 2018
Probability
written-test
iit-madras
probability
expected-value
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–
1
votes
2
answers
748
Doubt
Suppose we are playing a game.You have to choose 1 out 3 doors.Behind 1 lucky door ,we have 1 million dollars.You picked 1 st door.But i opened the 3rd door and found nothing.Now,if i give you another chance ,will you change your choice? (Use probabiliy estimates to answer)
Suppose we are playing a game.You have to choose 1 out 3 doors.Behind 1 lucky door ,we have 1 million dollars.You picked 1 st door.But i opened the 3rd door and found not...
Angkit
636
views
Angkit
asked
May 6, 2018
Probability
probability
+
–
1
votes
2
answers
749
Bayes theorem
This is extended form of Bayes theorem Can somebody explain (or can prove), how from 1st line 2 line came?
This is extended form of Bayes theoremCan somebody explain (or can prove), how from 1st line 2 line came?
srestha
2.5k
views
srestha
asked
May 5, 2018
Probability
probability
conditional-probability
engineering-mathematics
+
–
2
votes
1
answer
750
IISc CDS(MTech -R)
There are 12 pair of shoes, what is the probability that atleast one complete pair of shoes are present if 4 shoes are selected at random?
There are 12 pair of shoes, what is the probability that atleast one complete pair of shoes are present if 4 shoes are selected at random?
Hakuna Matata
1.2k
views
Hakuna Matata
asked
May 3, 2018
Probability
iisc
cds
probability
mtechr
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