Recent questions in Class12

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

The probability that a non - leap year has 53 sundays is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

The chance of throwing a total of 3 or 5 or 11 wih two dice is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

A and B are two events such that $ P(A) > 0, P(B) \neq 1$ then $ P( \overline A / \overline B )=$

asked Jan 6, 2014 by thanvigandhi_1

1 answer

If $ P(A)=0.65\: P(B)=0.80$ then $ P(A \cap B)$ lies in the interval

asked Jan 6, 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 6, 2014 by thanvigandhi_1

1 answer

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 and 1 only. The probability that the determinant chosen is non-zero is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

Let A,B,C be three equally likely and collectively exhaustive events. If the odds 8 : 3 against A, 5:2 against B then the odds against C are

asked Jan 6, 2014 by thanvigandhi_1

1 answer

The probability of guessing correctly atleast 8 out of 10 answers on a true - false examination is :

asked Jan 6, 2014 by thanvigandhi_1

1 answer

If $X$ follows a binomial distribution with parameters $n$ and $p$. $p \lt 0 \lt 1$ If $ P(X=r)/P(X=n-r)$ is independent of $ n \:$ and$\: r$ , then value of p is :

asked Jan 6, 2014 by thanvigandhi_1

1 answer

Two dice are thrown, the probability that the sum of the points on the dice is 7 is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

If the vectors $\overrightarrow a+\lambda \overrightarrow b+3\overrightarrow c,\:-2\overrightarrow a+3\overrightarrow b-4\overrightarrow c\:and\:\overrightarrow a-3\overrightarrow b+5\overrightarrow c$ are coplanar and $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are non coplanar, then $\lambda=?$

asked Jan 6, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are the sides $BC,CA\:and \:AB$ respectively of the $\Delta \:ABC$, then

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are three coplanar vectors then, $[(2\overrightarrow a-\overrightarrow b)\:(2\overrightarrow b-\overrightarrow c)\:(2\overrightarrow c-\overrightarrow a)]=?$

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The position vector of the vertices $A,B,C$ of a $\Delta\: ABC$ are $\hat i-\hat j-3\hat k,\:2\hat i+\hat j-2\hat k\:\:and\:\:-5\hat i+2\hat j-6\hat k$ respectively. The length of the bisector $AD$ of angle $A$ where $D$ is on the line $BC$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

A unit vector coplanar with the vectors $\hat i-\hat j\:\;and\:\:\hat i+2\hat j$ and is $\perp$ to the first vector, $\hat i-\hat j$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow {OA}=\hat i+3\hat j-2\hat k\:\:and\:\:\overrightarrow {OB}=3\hat i+\hat j-2\hat k$ and $C$ is a point of $AB$ so that $\overrightarrow {OC}$ bisects the angle $AOB$, then $\overrightarrow {OC}=?$

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

A die is thrown 4 times. The probability of getting at most two 6 is :

asked Jan 4, 2014 by thanvigandhi_1

1 answer

If the chance that a ship will arrive safely at a port is $ \large\frac{9}{10}$, the chance that out of 5 ships expected to arrive at the port at least 4 will arrive safely is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

A fair coin is tossed 10 times. The probability that the coin shows head exactly 4 times is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

The probability that England wins a cricket match against India is $ \large\frac{1}{3}$. If India and England play 3 test matches the probability that India will win exactly 2 test matches is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

If on an average 2 ships in every 10, sinks. The probability that out of 5 ships expected to arrive, at least three will arrive safely is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

A,B and C take one shot each at a target. Their probability of hitting the target are respectively 0.4, 0.5 and 0.8. The probability that at least two of them hit the target is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Three identical dice are rolled. The probability that the same number will appear on each of them is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

The probability of a man hitting a target is $ \large\frac{3}{4}$. He tries 5 times. The probability that the target will be hit at least 3 times is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

An experiment can result in only 3 mutually exclusive events A,B and C. If $ P(A) = 2P(B) = 3P(C) $ then $P(A) =$

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Three mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Let $A$ and $B$ be two events, such that: $ P(\overline{A \cup B} ) $$= \large\frac{1}{6}\:$,$\;\; P( A \cap B ) $$= \large\frac{1}{4} $,$\;$and $\;\;P(\overline A)$$=\large\frac{1}{4}$ where $\overline A$ stands for complement of event $A$. Then events $A$ and $B$ are

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Two persons A and B have equal number of sons. There are three cinema tickets which are to be distributed among the sons of A and B. The probability that all the tickets go to sons of A is $ \large\frac{1}{20}$. The number of sons each of them is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

A and B throw a die. The probability that A's throw is not greater than B's is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \sec^2 x \log (\tan x) .dx$

asked Jan 3, 2014 by meena.p

1 answer

Integrate : $\int \frac{y}{9}$$t \tan (t^2)dt$

asked Jan 3, 2014 by meena.p

1 answer

Integrate : $\int \large \frac{e^{\Large\cos ^{-1}x}}{\sqrt {1-x^2}}$$dx$

asked Jan 3, 2014 by meena.p

1 answer

Integrate : $\cos ^3 x dx$

asked Jan 3, 2014 by meena.p

1 answer

A buys 3 tickets of a lottery in which total number of tickets is 12 out of which 3 carry prizes on them. A's chance of getting a prize is ;

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The probability that in a throw of 12 dice 1,1, 2,2, 3,3, 4,4, 5,5, 6,6 will occur in any sequence is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If A,B,C are three events with $P(C)=0$ then $ P(A \cup B \cup C )=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If two events A and B $ P( A \cup B ) = 0.5\: and \: P(A \cap B ) = 0.4$ then $ P(A')+P(B')=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A man is known to speak the truth in 75% cases. He throws a die and reports that it is a five. The probability that it is actually a five is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

An unbiased die is rolled four times. Out of four face values obtained, the probability that the minimum face is not less than 2 and the maximum face is not greater than 5 is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{5}{7} $$\sin (3x+7) \cos (3x+7) dx$

asked Jan 2, 2014 by meena.p

1 answer

For two independent events A and B $ P( A \cap B ) = \large\frac{3}{25}\: P(A' \cap B) = \large\frac{8}{25}$ then $ P(B) = $

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac {\sin ^6 x +\cos ^6 x }{\sin ^2 x \cos ^2 x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \sqrt {1- \sin x }dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{1}{1- \sin x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Let A and B be two events such that $ P ( A') = 0.3 \: P(B)=0.4 \: and \: P(A \cap B') = 0.5$ then $ P(B/A\: UB')=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

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