Register

Web Page

Syllabus: Random variables, Uniform, Normal, Exponential, Poisson and Binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 0 &1&1&0&2&1&1&0&1&1&0&0.8&2
\\\hline\textbf{2 Marks Count} & 0 &2&2&1&1&1&0&3&1&0&0&1.1&3
\\\hline\textbf{Total Marks} & 0 &5&5&2&4&3&1&6&3&1&\bf{0}&\bf{3}&\bf{6}\\\hline
\end{array}}}$$

Filter

Most answered questions in Probability

0 votes
2 answers
361
Probability
E1 and E2 are events in a probability space satisfying the following constraints p(E1)= p(E2);p(E1U E2) = 1; E1 & E2 are independent then p(E1)=
E1 and E2 are events in a probability space satisfying the following constraints p(E1)= p(E2);p(E1U E2) = 1; E1 & E2 are independent then p(E1)=
User Avatar
1 votes
2 answers
363
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M.
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M. A man decides that he will go at random to this location betwe...
User Avatar
0 votes
2 answers
366
A fair coin is tossed 100 times. The Probability of getting 50 heads is close to one of the following numbers: a) 0.001 b)0.1 c)0.3 d)0.4
A fair coin is tossed 100 times. The Probability of getting 50 heads is close to one of the following numbers:a)0.001b)0.1c)0.3 d)0.4
User Avatar
2 votes
2 answers
368
You are asked to open one door. There is a large prize behind one of the three doors and the other two doors are losers.
You are asked to open one door. There is a large prize behind one of the three doors and the other two doors are losers. After you select a door, Monty Hall opens one of ...
User Avatar
25 votes
2 answers
371
GATE CSE 1994 | Question: 2.8
Let $A, B,$ and $C$ be independent events which occur with probabilities $0.8, 0.5,$ and $0.3$ respectively. The probability of occurrence of at least one of the event is _______
Let $A, B,$ and $C$ be independent events which occur with probabilities $0.8, 0.5,$ and $0.3$ respectively. The probability of occurrence of at least one of the event is...
User Avatar
20 votes
2 answers
372
GATE CSE 1997 | Question: 1.1
The probability that it will rain today is $0.5$. The probability that it will rain tomorrow is $0.6$. The probability that it will rain either today or tomorrow is $0.7$. What is the probability that it will rain today and tomorrow? $0.3$ $0.25$ $0.35$ $0.4$
The probability that it will rain today is $0.5$. The probability that it will rain tomorrow is $0.6$. The probability that it will rain either today or tomorrow is $0.7$...
User Avatar
1 votes
2 answers
374
MadeEasy Workbook: Probability
A pair of dice is rolled again and again till a total of 5 or 7 is obtained. The chance that a total of 5 comes before a total of 7 is??
A pair of dice is rolled again and again till a total of 5 or 7 is obtained. The chance that a total of 5 comes before a total of 7 is??
User Avatar
7 votes
2 answers
376
random variable $X^2+Y^2 >1$
Consider two independent random variables $X$ and $Y$ having probability density functions uniform in the interval $[-1, 1]$. The probability that $X^{2}+Y^{2}>1$ is $\pi/4$ $1-\pi/4$ $\pi/2 - 1$ Probability that $X^{2}+Y^{2}<0.5$ None of the above.
Consider two independent random variables $X$ and $Y$ having probability density functions uniform in the interval $[-1, 1]$. The probability that $X^{2}+Y^{2}>1$ is $\pi...
User Avatar
1 votes
1 answer
379
GATE DS&AI 2024 | Question: 26
​​​​​A fair six-sided die (with faces numbered $1,2,3,4,5,6$ ) is repeatedly thrown independently. What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen? $2$ $4$ $6$ $8$
​​​​​A fair six-sided die (with faces numbered $1,2,3,4,5,6$ ) is repeatedly thrown independently.What is the expected number of times the die is thrown until t...
User Avatar
Page: