Recent questions tagged class12

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is a king or queen F : the card drawn is a queen or jack?

asked Jun 19, 2013 by balaji.thirumalai

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is black F : the card drawn is a king?

asked Jun 19, 2013 by balaji.thirumalai

1 answer

If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate $ P \large ( \large \frac{ E \cup F}{G})$ and $ P \large ( \large \frac{ E \cap F}{G})$

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate P(E/G) and P(G/E).

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Find P(E|F) and P (F|E),

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when Two coins are tossed once, where E : no tail appears, F : no head appears

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : at most two tails , F : at least one tail

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : at least two heads , F : at most two heads

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : head on third toss , F : heads on first two tosses

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Find all the values of $\bigg(\large\frac{1}{2}$$-i\large\frac{\sqrt 3}{2}\bigg)^{\Large\frac{3}{4}}$ and hence prove that the product of the values is 1.

asked Jun 13, 2013 by sreemathi.v

1 answer

Solve : $x^4-x^3+x^2-x+1=0$

asked Jun 13, 2013 by sreemathi.v

1 answer

Solve : $x^4+4=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (iii) $\large\frac{1}{1+2\omega}-\frac{1}{1+\omega}+\frac{1}{2+\omega}$$=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (ii) $\bigg(\large\frac{-1+i\sqrt 3}{2}\bigg)^5+\bigg(\large\frac{-1-i\sqrt 3}{2}\bigg)^5$$=-1$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (i) $(a+b+c)(a+b\omega+c\omega^2)(a+b\omega^2+c\omega)=a^3+b^3+c^3-3abc$

asked Jun 12, 2013 by sreemathi.v

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (ii) $x^3+y^3+z^3=3(a^3+b^3)$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (i) $xyz=a^3+b^3$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(-\sqrt 3-i)^{\large\frac{2}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(8i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\cos 2\alpha + \cos 2\beta + \cos 2\gamma = 0$

asked Jun 11, 2013 by sreemathi.v

1 answer

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\sin 3\alpha + \sin 3\beta + \sin 3\gamma = 3 \sin\left ( \alpha +\beta + \gamma \right )$

asked Jun 11, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $arg\bigg(\large\frac{z-1}{z+3}\bigg)=\large\frac{\pi}{2}$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid 2z-3\mid=2$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $Re\bigg(\large\frac{z-1}{z+i}\bigg)$$=1$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid z-5i\mid=\mid z+5i\mid$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $Im\bigg[\large\frac{2z+1}{iz+1}\bigg]$$=-2$

asked Jun 10, 2013 by sreemathi.v

1 answer

Prove that the triangle formed by the points representing the complex numbers $(10+8i),(-2+4i)$ and $(-11+31i)$ on the Argand plane is right angled.

asked Jun 10, 2013 by sreemathi.v

1 answer

If $z^2=(0,1)$ find $z$.

asked Jun 7, 2013 by sreemathi.v

1 answer

Find the square root of $(-8-6i)$

asked Jun 7, 2013 by sreemathi.v

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j -2\hat k + \lambda (\hat i - \hat j -2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j-56 \hat k+ \mu (3 \hat i -5\hat j - 4\hat k) $

asked Jun 5, 2013 by meena.p

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane $(c)\;$Point (2,3,-5);Plane $(x+2y-2z-9=0)$

asked Jun 4, 2013 by sreemathi.v

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane $(b)\;$Point (3,-2,1);Plane $(2x-y+2z+3=0)$

asked Jun 4, 2013 by sreemathi.v

1 answer

The marks secured by $400$ students in a Mathematics test were normally distributed with mean $65$. If $120$ students got more marks above $85$, the number of students securing marks between $45$ nd $65$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

If $f(x)$ is a p.d.f of a normal variate $x$ and $X\sim N(\mu,\sigma^{2})$ then $\int\limits_{-\infty}^{\mu}f(x)dx $ is

asked Jun 3, 2013 by poojasapani_1

1 answer

The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

In a poisson distribution if $P(X=2)=P(X=3)$ then the value of its parameter $\lambda$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

For a poisson distribution with parameter $ \lambda=0.25$ the value of the $2^{nd}$ moment about the origin is

asked Jun 3, 2013 by poojasapani_1

1 answer

The distribution function $F(X)$ of a random variable $X$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

The identity element of the binary operation $\large $ defined on $Q-\{0\}$ as $a\large $ $b=\large\frac{ab}{2},$ $ \forall \:a,b\:\in\:Q-\{0\}$

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

If a relation $R$ on the set $\{1,2,3\}$ is defined as $R=\{(1,2)\}$, then $R$ is

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

If $f:[0,1]\rightarrow\:[0,1]$ is defined as $f(x)=\left \{\begin {array}{c,c}x &if\:x\:is\:rational\\1-x & if\:x\:is\:irrational\end {array}\right.$ then $fof(x)=?$

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

The number of bijection mappings that are possible from $Set \:A$ containing 5 elements to $Set\:B$ containing 6 elements is ?

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

The maximum number of equivalence relations on the set $A=\{1,2,3\}$ is?

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

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