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Webpage for Probability
Recent questions tagged probability
78
votes
12
answers
1321
GATE CSE 2009 | Question: 21
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is even. The probability of getting any even numbered face is the same. If the ... following options is closest to the probability that the face value exceeds $3$? $0.453$ $0.468$ $0.485$ $0.492$
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is ev...
gatecse
16.6k
views
gatecse
asked
Sep 15, 2014
Probability
gatecse-2009
probability
normal
conditional-probability
+
–
2
votes
1
answer
1322
A man visits a couple who have 2 children. one of the children, a boy, comes into the room.
A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy. (a)1/3 (b)2/3 (c)1/2 (d)3/4
A man visits a couple who have 2 children. one of the children, a boy, comes into the room. find the probability p that the other is also a boy.(a)1/3(b)2/3(c)1/2(d)3/4
gatecse
1.7k
views
gatecse
asked
Sep 15, 2014
Probability
probability
normal
+
–
14
votes
5
answers
1323
GATE CSE 1995 | Question: 1.18
The probability that a number selected at random between $100$ and $999$ (both inclusive) will not contain the digit $7$ is: $\dfrac{16}{25}$ $\left(\dfrac{9}{10}\right)^{3}$ $\dfrac{27}{75}$ $\dfrac{18}{25}$
The probability that a number selected at random between $100$ and $999$ (both inclusive) will not contain the digit $7$ is: $\dfrac{16}{25}$$\left(\dfrac{9}{10}\right)^...
gatecse
11.1k
views
gatecse
asked
Sep 15, 2014
Probability
gate1995
probability
normal
+
–
39
votes
4
answers
1324
GATE CSE 2001 | Question: 2.4
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day? $\dfrac{1}{7^7}\\$ $\dfrac{1}{7^6}\\$ $\dfrac{1}{2^7}\\$ $\dfrac{7}{2^7}\\$
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day?$\dfrac{1}{7^7}\\$$\dfrac{1}{7^6}\\$$\dfrac{1}{2^7}\\$$\...
Kathleen
19.9k
views
Kathleen
asked
Sep 14, 2014
Probability
gatecse-2001
probability
normal
+
–
28
votes
3
answers
1325
GATE CSE 2000 | Question: 2.2
$E_{1}$ and $E_{2}$ are events in a probability space satisfying the following constraints: $Pr$\left ( E_{1} \right )$ = $Pr$\left ( E_{2} \right )$ $Pr$\left ( E_{1}\cup E_{2} \right )$ = $1$ $E_{1}$ and $E_{2}$ are independent The value of $Pr$\left ( E_{1} \right )$, the probability of the event $E_{1}$, is $0$ $\dfrac{1}{4}$ $\dfrac{1}{2}$ $1$
$E_{1}$ and $E_{2}$ are events in a probability space satisfying the following constraints:$Pr$$\left ( E_{1} \right )$ = $Pr$$\left ( E_{2} \right )$$Pr$$\left ( E_{1}\...
Kathleen
5.3k
views
Kathleen
asked
Sep 14, 2014
Probability
gatecse-2000
probability
easy
independent-events
+
–
52
votes
3
answers
1326
GATE CSE 2008 | Question: 29
Let $X$ be a random variable following normal distribution with mean $+1$ and variance $4$. Let $Y$ be another normal variable with mean $-1$ and variance unknown. If $P (X \leq -1) = P (Y \geq 2)$ , the standard deviation of $Y$ is $3$ $2$ $\sqrt{2}$ $1$
Let $X$ be a random variable following normal distribution with mean $+1$ and variance $4$. Let $Y$ be another normal variable with mean $-1$ and variance unknown. If $P ...
Kathleen
23.7k
views
Kathleen
asked
Sep 11, 2014
Probability
gatecse-2008
random-variable
normal-distribution
probability
normal
+
–
37
votes
8
answers
1327
GATE CSE 2008 | Question: 27
Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that she studies mathematics the next day is $0.6$. If she studies mathematics on a day, then the probability that she studies computer ... what is the probability that she studies computer science on Wednesday? $0.24$ $0.36$ $0.4$ $0.6$
Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that she studies mathematics the next da...
Kathleen
7.8k
views
Kathleen
asked
Sep 11, 2014
Probability
gatecse-2008
probability
normal
conditional-probability
+
–
7
votes
2
answers
1328
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...
Marv Patel
1.9k
views
Marv Patel
asked
Sep 6, 2014
Probability
probability
random-variable
+
–
31
votes
2
answers
1329
GATE CSE 2013 | Question: 2
Suppose $p$ is the number of cars per minute passing through a certain road junction between $5$ PM and $6$ PM, and $p$ has a Poisson distribution with mean $3$. What is the probability of observing fewer than $3$ cars during any given minute in this interval? $\dfrac{8}{(2e^{3})}$ $\dfrac{9}{(2e^{3})}$ $\dfrac{17}{(2e^{3})}$ $\dfrac{26}{(2e^{3})}$
Suppose $p$ is the number of cars per minute passing through a certain road junction between $5$ PM and $6$ PM, and $p$ has a Poisson distribution with mean $3$. What is ...
gatecse
9.1k
views
gatecse
asked
Aug 7, 2014
Probability
gatecse-2013
probability
poisson-distribution
normal
+
–
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