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Recent questions in Probability

Questions >> JEEMAIN and NEET >> Mathematics >> Class12 >> Probability

If the variance of the random variable X is 9, the standard deviation of the random variable -4x+8 is?

asked Oct 22, 2017 by adamtraitor

1 answer

6 boys and 6 girls sit randomly in a row, what is thae probability that boys and girls sit alternately?

asked Feb 14, 2014 by bharathdon.999

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?

asked 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?

asked Jan 29, 2014 by balaji

1 answer

In a binomial distribution the mean is 15 and variance is 10, then parameter $n$ is

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked Jan 16, 2014 by thanvigandhi_1

1 answer

A random variable X follows binomial distribution with mean $ \alpha$ and variance $ \beta$ Then

asked 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 ?

asked 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

asked 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

asked 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

asked 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

asked Jan 15, 2014 by thanvigandhi_1

1 answer

The probability that the same number appear on throwing three dice simultaneously is

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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.

asked Jan 15, 2014 by thanvigandhi_1

1 answer

The mean deviation for normal curve measured from mean value is

asked 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

asked 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

asked Jan 15, 2014 by thanvigandhi_1

1 answer

For normal distribution the third moment about the mean is

asked Jan 15, 2014 by thanvigandhi_1

1 answer

Under a normal curve mean $ \pm 3\: \sigma $ covers an area equal to

asked Jan 15, 2014 by thanvigandhi_1

1 answer

The mean of Poisson's distribution with parameter m is

asked Jan 15, 2014 by thanvigandhi_1

1 answer

In a probability distribution of a random variable X, the sum of probability is always

asked 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

asked Jan 9, 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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.

asked 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

asked 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

asked 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.

asked 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

asked 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

asked 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

asked 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

asked Jan 8, 2014 by thanvigandhi_1

1 answer

Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

asked Jan 8, 2014 by thanvigandhi_1

2 answers

A box contains 24 identical bals of which 12 are white and remaining black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is

asked Jan 8, 2014 by thanvigandhi_1

1 answer

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