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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2024-1} &\textbf{2024-2} &\textbf{2023} &\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &2&1&0& 0 &1&1&0&0.83&2
\\\hline\textbf{2 Marks Count} & 1&1&1&0 &2&2&0&1.16&2
\\\hline\textbf{Total Marks} & 4&3&2&0 &5&5&\bf{0}&\bf{3.16}&\bf{5}\\\hline
\end{array}}}$$

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Most answered questions in Probability

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151
GATE CSE 2024 | Set 2 | Question: 8
​​​​​​When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers $(i.e., 1, 2, 3, 4, 5, \text{and } 6)$ is $\frac{1}{324}$ $\frac{5}{324}$ $\frac{7}{324}$ $\frac{11}{324}$
​​​​​​When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers $(i.e., 1, 2, 3, 4, 5, \text{and } 6)$ is$\frac{1}{3...
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4 votes
2 answers
161
maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?
A dice is tossed seven times. What is the probability that all six faces appear at least once?
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2 votes
2 answers
162
Applied Test Series
A large bowl contains 15 balls that are identical except for their colors 6 are colored red, 5 are colored blue and 4 are colored green. What is the probability that two balls selected at random from the bowl have the same color_____
A large bowl contains 15 balls that are identical except for their colors 6 are colored red, 5 are colored blue and 4 are colored green. What is the probability that two ...
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1 votes
2 answers
166
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 16
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as. $RE = P/L$ $RE = P + L$ $RE = P \ast L$ $RE = 2 \ast P \ast L$
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as.$RE = P/L$ $RE = P + L$$RE = P \ast L$$RE = 2 \ast P \ast L$
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1 votes
2 answers
167
NIELIT 2017 DEC Scientific Assistant A - Section B: 41
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times? $5/32$ $15/128$ $35/128$ None of the options
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times?$5/32$$15/128$$35/128$None of the options
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24 votes
2 answers
169
GATE CSE 2020 | Question: 45
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is______________
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigm...
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1 votes
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170
TIFR CSE 2020 | Part A | Question: 10
In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did the $20^{th}$ of the January fall that year (recall that January has $31$ days)? Sunday Monday Wednesday Friday None of the others
In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did the $20^{th}$ of the January fall that year (recall th...
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