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Recent questions and answers in Probability
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JEEMAIN and NEET
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Mathematics
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Class12
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Probability
If the variance of the random variable X is 9, the standard deviation of the random variable -4x+8 is?
math
answered
Apr 6, 2019
by
yachyuth2001
1
answer
Two fair dice are tossed once. The probability of getting an even number on the first die or a total of 8 is
jeemain
math
cbse
class12
probability
independent events
easy
q11
answered
Mar 18, 2018
by
prakashtiwariaditya
2
answers
Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
jeemain
math
cbse
class12
probability
bionomial-distribution
difficult
q8
answered
Jul 9, 2017
by
phaniajit2005
2
answers
6 boys and 6 girls sit randomly in a row, what is thae probability that boys and girls sit alternately?
jeemain
math
statistics-and-probability
medium
sec-a
cbse
class12
ch13
answered
Feb 15, 2014
by
rvidyagovindarajan_1
1
answer
Lets say you enter a Chess tournament. The probability of winning a game against half the players is 0.3, the probability of winning against one quarter of them is 0.4 and the probability of winning against the remaining one quarter is 0.5. Let's say you play against a randomly chosen opponent. What is your probability of winning?
jeemain
math
probability
cbse
easy
sec-a
class12
multiplication theorem
ch13
additionalproblem
mock
answered
Feb 12, 2014
by
balaji.thirumalai
1
answer
If you flip a fair coin 19 times, what is the probability that you will end up with an even number of heads?
jeemain
math
probability
cbse
class11
events
ch13
medium
sec-a
answered
Jan 29, 2014
by
balaji
1
answer
In a binomial distribution the mean is 15 and variance is 10, then parameter $n$ is
jeemain
math
cbse
class12
probability
ch13
bionomial-distribution
difficult
q25
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
Probability of getting positive integral roots of the equation $ x^2-n=0$ for the integer $ n \: \: \: 1 \leq n \leq 40$ is
jeemain
math
cbse
class12
ch13
probability
events
easy
q50
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
Twelve tickets are numbered from 1 to 12. One tickets is drawn at random, then the probability of the number to be divisible by 2 or 3 is
jeemain
math
cbse
class12
probability
events
difficult
q24
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
If X is a Poisson variate such that $ P(X=1)=P(x=2)$ the $P(x=4)$ is equal to
jeemain
math
cbse
class12
probability
easy
poisson-variance
q49
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
A fair die is tossed eight times. The probability that a third six is observed on the eight throw is
jeemain
math
cbse
class12
probability
easy
q48
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
The mean and standard deviation of a binomial variate X are 4 and $ \sqrt 3$ respectively. The $P( X \geq 1 )$ is equal to
jeemain
math
cbse
class12
probability
medium
q25
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
If X is a binomial variate with the range { 0,1,2,3,4,5,6 } and P(X = 2)=4P (x=4) then the parameter P of X is
jeemain
math
cbse
class12
probability
difficult
q23
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
If $P(A)=P(B)=x\: and \: P(A \cap B ) = P(A' \cap B')=\large\frac{1}{3}$ then x is equal to
jeemain
math
cbse
class12
probability
difficult
q22
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
If $P(A)=\large\frac{1}{12}\: P(B)=\large\frac{5}{12}\: and \: P(B/A) = \large\frac{1}{15}$ then $P(A \cup B )$ is equal to
jeemain
math
cbse
class12
probability
difficult
q21
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
A random variable X follows binomial distribution with mean $ \alpha$ and variance $ \beta$ Then
jeemain
math
cbse
class12
probability
difficult
q20
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
The chances to fail in Physics are 20% and the chances to fail in Mathematics are 10%. What are the chances to fail in at least one subject ?
jeemain
math
cbse
class12
probability
difficult
q19
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
A bag contains 3 black, 3 white and 2 red balls. One by one three balls are drawn without replacement. The probability that the third ball is red is equal to
jeemain
math
cbse
class12
probability
medium
q24
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
A person has two children. If one of them is boy, then the probability that other is also a boy is
jeemain
math
cbse
class12
probability
medium
q23
answered
Jan 16, 2014
by
thanvigandhi_1
1
answer
Four dice are rolled. The number of possible outcomes in which at least one dice shown 2 is
jeemain
math
cbse
class12
probability
easy
q47
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
An integer is chosen at random from first two hundred numbers. Then the probability that the integer chosen is divisible by 6 or 8 is
jeemain
math
cbse
class12
probability
difficult
q18
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
The probability that the same number appear on throwing three dice simultaneously is
jeemain
math
cbse
class12
probability
easy
q46
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
From a pack of 52 cards, two cards are drawn at random. Then the probability that one is a king and the other is a queen is
jeemain
math
cbse
class12
probability
easy
q45
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
A pair of dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
jeemain
math
cbse
class12
probability
medium
q22
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is 6. The probability that it is actually a 6 is
jeemain
math
cbse
class12
probability
medium
q21
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that $ x = 3$ equals
jeemain
math
cbse
class12
probability
medium
q20
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
Let $w$ be a complex cube root of unity with $ W \neq 1$. A fair die is thrown three times. If $r_1, r_2\:and \: r_3$ are the numbers obtained on the die, then the probability that $ W^{r_1}+W^{r_2}+W^{r_3}=0$ is
jeemain
math
cbse
class12
probability
medium
q20
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
The value of K for which function $ f(x) =\left\{ \begin{array}{l l} k\: e^{-3x} & \quad \text{ $x$ >0}\\ 0 & \quad \text{ elsewhere} \end{array} \right.$ is a Probability Distribution Function.
jeemain
math
cbse
class12
probability
difficult
q17
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
The mean deviation for normal curve measured from mean value is
jeemain
math
cbse
class12
probability
difficult
q16
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
If X is a Poisson variate such that $ P(2)=9\: P(4)+90\: P(6)$. then mean of X is
jeemain
math
cbse
class12
probability
poisson's-distribution
difficult
q15
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
The probability for a razor blade to be defective is 0.002. The blades are in packet of 10. The number of packets containing no defective blades in a stock of 10,000 packet is
jeemain
math
cbse
class12
probability
poisson's-distribution
easy
q43
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
For normal distribution the third moment about the mean is
jeemain
math
cbse
class12
probability
easy
q42
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
Under a normal curve mean $ \pm 3\: \sigma $ covers an area equal to
jeemain
math
cbse
class12
probability
easy
q41
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
The mean of Poisson's distribution with parameter m is
jeemain
math
cbse
class12
probability
easy
q40
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
In a probability distribution of a random variable X, the sum of probability is always
jeemain
math
cbse
class12
probability
easy
q39
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
A and B throw a dice each. The probability that A's throw is not greater than B's throw is
jeemain
math
cbse
class11
probability
random-experiements
easy
q37
answered
Jan 15, 2014
by
thanvigandhi_1
1
answer
A is targetting to B, b and C are targetting to A. probability of hitting the target by A,B and C are $ \large\frac{2}{3}, \large\frac{1}{2} \: and \: \large\frac{1}{3}$ respectively. If A is hit then the probability that B hits the target and C does not is
jeemain
math
cbse
class12
probability
conditional-probability
difficult
q14
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
Ordinary dice are rolled. The probability that at least half of them will show at least 3 is
jeemain
math
cbse
class12
probability
bionomial-distribution
medium
q19
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
A fair coin is tossed 100 times. The probability of getting tails on odd number of times is
jeemain
math
cbse
class12
probability
bionomial-distribution
medium
q18
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
A coin is tossed 7 times. The probability that he wins the toss on more occasions is
jeemain
math
cbse
class12
probability
bionomial-distribution
medium
q17
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
In a binomial distribution $B \bigg( n, P = \large\frac{1}{4} \bigg)$ If the probability of at least one success is greater than or equal to $ \large\frac{9}{10}$ then $n$ is greater than
jeemain
math
cbse
class12
probability
bionomial-distribution
medium
q16
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
It is given that the events A and B are such that $P(A) = \large\frac{1}{4}\: \: P \bigg( \large\frac{A}{B} \bigg) \large\frac{1}{2}\: and \: P \bigg( \large\frac{B}{A} \bigg) = \large\frac{2}{3}$ Then $P(B)$ is
jeemain
math
cbse
class11
probability
axiomatic-approach-to-probability
difficult
q13
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
If X is binomial variate with parameters $n$ and $p$ where $ 0 < P < 1$ such that $ \large\frac{P(x=r)}{P(x=n-r)}$ is independent of n and r then p equals.
jeemain
math
cbse
class12
probability
bionomial-distribution
difficult
q12
answered
Jan 9, 2014
by
thanvigandhi_1
1
answer
The probability that $ \sin^{-1} ( \sin \: x)+ \cos^{-1} ( \cos\: y)$ is an integer $ x,y \in \{ 1,2,3,4 \} $ is
jeemain
math
cbse
class11
probability
random-experiements
easy
q36
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
Let A and B be two independent events such that $P(A) = \large\frac{1}{5} \: P( A \cup B ) = \large\frac{7}{10}$. Ten $ P(\overline B)$ is equal to
jeemain
math
cbse
class11
probability
axiomatic-approach-to-probability
medium
q15
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form $ 7^m+7^n$ is divisible by 5 equals.
jeemain
math
cbse
class12
probability
probability-distribution-of-a-random-variable
difficult
q11
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
A box contains 3 white and 2 red balls. If we draw one ball and without replacing the first ball, the probability of drawing red ball in the second draw is
jeemain
math
cbse
class11
probability
random-experiements
medium
q14
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
The mean and variance of a binomial variate X are 2 and 1 respectively. The probability that X takes a value greater than 1 is
jeemain
math
cbse
class12
probability
probability-distribution-of-a-random-variable
medium
q13
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
A and B are two independent events. The probability that both A and B occur is $ \large\frac{1}{6}$ and the probability that neither of them occurs is $ \large\frac{1}{3}$. Then the probability of the two events are respectively
jeemain
math
cbse
class12
probability
independent-events
difficult
q10
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
A pair of dice is rolled together till a sum of either 5 or 7 is obtained. The probability that 5 comes before 7 is
jeemain
math
cbse
class12
probability
conditional-probability
difficult
q9
answered
Jan 8, 2014
by
thanvigandhi_1
1
answer
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