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Webpage for Probability
Recent questions tagged probability
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331
iitkgp assignment
Two CSMA/CD stations are each trying to transmit long (multi-frame) files.After each frame is sent,they contend for the channel,using the binary exponential back-off algorithm. What is the probability that the contention ends on round k, and what is the mean number of rounds per contention period?
Two CSMA/CD stations are each trying to transmit long (multi-frame) files.After each frame is sent,they contend for the channel,using the binary exponential back-off al...
shreyo
407
views
shreyo
asked
Sep 11, 2022
Computer Networks
computer-networks
csma-cd
probability
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–
1
votes
1
answer
332
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels ...
lolalo
942
views
lolalo
asked
Sep 10, 2022
Probability
probability
sheldon-ross
conditional-probability
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–
0
votes
2
answers
333
TIFR CSE 2022 | Part A | Question: 2
We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that share the same birthday is at least $1.$ What should $n$ be? (Ignore leap years, so ... birthdays fall with equal probability on each of the $365$ days of the year.) $23$ $28$ $92$ $183$ $366$
We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that sh...
admin
807
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
expectation
+
–
5
votes
1
answer
334
TIFR CSE 2022 | Part A | Question: 5
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}$. Let $x, y$ be distinct elements from the set $\{1, \ldots, n\}$. Let $p$ denote the probability ... Then, $p=0$ $p=\frac{1}{n^m}$ $0<p \leq \frac{1}{m^n}$ $p=\frac{1}{m}$ $p=\frac{1}{n}$
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}...
admin
457
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
functions
+
–
0
votes
1
answer
335
TIFR CSE 2022 | Part A | Question: 7
Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen uniformly from the white beads, and these $k$ beads are coloured black. The position of the beads remains ... None of the above
Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen uniformly fro...
admin
595
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
+
–
1
votes
1
answer
336
TIFR CSE 2022 | Part A | Question: 10
Consider a bag containing colored marbles. There are $n$ marbles in the bag such that there is exactly one pair of marbles of color $i$ for each $i \in\{1, \ldots, m\}$ and the rest of the marbles are of distinct colors (different from colors $\{1, \ldots, m\}$ ). You draw ... $\frac{2m}{n}$ $\frac{2m}{n(n-1)}$ $\frac{2m}{n^2}$ $\frac{m}{n(n-1)}$
Consider a bag containing colored marbles. There are $n$ marbles in the bag such that there is exactly one pair of marbles of color $i$ for each $i \in\{1, \ldots, m\}$ a...
admin
586
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
conditional-probability
+
–
1
votes
1
answer
337
TIFR CSE 2022 | Part A | Question: 12
Alice plays the following game on a math show. There are $7$ boxes and identical prizes are hidden inside $3$ of the boxes. Alice is asked to choose a box where a prize might be. She chooses a box uniformly at random. From the unchosen boxes which do not have a prize, ... ). Her probability of winning the prize is $3 / 7$ $1 / 2$ $17 / 30$ $18 / 35$ $9 / 19$
Alice plays the following game on a math show. There are $7$ boxes and identical prizes are hidden inside $3$ of the boxes. Alice is asked to choose a box where a prize m...
admin
518
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
conditional-probability
+
–
2
votes
1
answer
338
TIFR CSE 2022 | Part A | Question: 13
Consider the transition system shown in the figure below with the initial state $s_1$. A token is initially placed at $s_1$, and it moves to $s_2$ with probability $\frac{2}{3}$, and to $s_3$ with probability $\frac{1}{3}$. From $s_2$ and $s_3$, the token always ... appear in the run? $\frac{1}{7}$ $\frac{2}{7}$ $\frac{3}{7}$ $\frac{5}{7}$ None of the above
Consider the transition system shown in the figure below with the initial state $s_1$. A token is initially placed at $s_1$, and it moves to $s_2$ with probability $\frac...
admin
401
views
admin
asked
Sep 1, 2022
Theory of Computation
tifr2022
theory-of-computation
finite-automata
probability
+
–
0
votes
1
answer
339
TIFR CSE 2022 | Part A | Question: 15
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of the particle is $\pi$ i.e., the probability that particle is in location $i$ is given by $\pi(i)$. In the ... $\pi(1)=1$ and $\pi(i)=0$ for $i \neq 1$ $\pi(n)=1$ and $\pi(i)=0$ for $i \neq n$
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of...
admin
477
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
+
–
0
votes
0
answers
340
Best Open Video Playlist for Probability Topic | Quantitative Aptitude
Please list out the best free available video playlist for Probability from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... ones are more likely to be selected as best. For the full list of selected videos please see here
Please list out the best free available video playlist for Probability from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the ...
makhdoom ghaya
119
views
makhdoom ghaya
asked
Aug 26, 2022
Study Resources
missing-videos
free-videos
go-classroom
video-links
probability
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