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

Highest voted questions in Probability

24 votes
3 answers
63
GATE CSE 2005 | Question: 12, ISRO2009-64
Let $f(x)$ be the continuous probability density function of a random variable $x$, the probability that $a < x \leq b$, is : $f(b-a)$ $f(b) - f(a)$ $\int\limits_a^b f(x) dx$ $\int\limits_a^b xf (x)dx$
Let $f(x)$ be the continuous probability density function of a random variable $x$, the probability that $a < x \leq b$, is :$f(b-a)$$f(b) - f(a)$$\int\limits_a^b f(x) dx...
User Avatar
23 votes
4 answers
67
GATE CSE 1996 | Question: 2.7
The probability that top and bottom cards of a randomly shuffled deck are both aces is $\frac{4}{52} \times \frac{4}{52}$ $\frac{4}{52} \times \frac{3}{52}$ $\frac{4}{52} \times \frac{3}{51}$ $\frac{4}{52} \times \frac{4}{51}$
The probability that top and bottom cards of a randomly shuffled deck are both aces is$\frac{4}{52} \times \frac{4}{52}$$\frac{4}{52} \times \frac{3}{52}$$\frac{4}{52} \t...
User Avatar
22 votes
5 answers
69
GATE CSE 2002 | Question: 2.16
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is $\frac{1}{16}$ $\frac{1}{8}$ $\frac{7}{8}$ $\frac{15}{16}$
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is$\frac{1}{16}$$\frac{1}{8}$$\frac{7}{8}$$\frac{15}{16}$
User Avatar
20 votes
3 answers
77
GATE CSE 1996 | Question: 1.5
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is $\frac{1}{36}$ $\frac{1}{3}$ $\frac{25}{36}$ $\frac{11}{36}$
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is$\frac{1}{36}$$\frac{1}{3}$$\frac{25}{36}$$\frac{11}{36}$
User Avatar
20 votes
6 answers
78
GATE CSE 1995 | Question: 2.14
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is: $\frac{2}{3}$ $\frac{4}{5}$ $\frac{1}{2}$ $\frac{1}{3}$
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is:$\frac{2}{3}$...
User Avatar
20 votes
2 answers
79
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
Page: