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Recent questions tagged probability

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

A fair die is tossed until a number greater than 4 appears. The probability that an even number of tosses shall be required is

asked Jan 8, 2014 by thanvigandhi_1

1 answer

If the probability for A to fail in an examination is 0.2 and that for B is 0.3 then the probability that either A or B fails is

asked Jan 8, 2014 by thanvigandhi_1

1 answer

An unbiased die with faces marked 1,2,3,4,5 and 6 is rolled four times out of four values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is :

asked Jan 8, 2014 by thanvigandhi_1

1 answer

The probability that a number selected at random from the set of numbers { 1,2,3,.....100} is a cube is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

For a poisson variate X if $P(X=0) = 0.2$ then its variance is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

If S is a sample space $P(A) = \large\frac{1}{3} P(B)\: and \: S = A \cup B$ where A,B are two mutually exclusive events, then $P(A)=$

asked Jan 6, 2014 by thanvigandhi_1

1 answer

If $ E_1$ denotes the event of coming sum 6 in throwing two dice and $E_2$ be the event of coming 2 in any one of the two, then $ P(E_2/E_1)$ is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

Let P be the probability of happening any event and Q its failure, then the total chance of $ r$ success in $n$ trials is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

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