Recent questions tagged medium

Three coins are tossed once,let A denote the event "three heads show",B denote the event "two heads and one tail show",C denote the event "three tails show" and D denote the event "a head shows on the first toss" which events are simple ?

asked Jun 27, 2014 by sreemathi.v

1 answer

Three coins are tossed once,let A denote the event "three heads show",B denote the event "two heads and one tail show",C denote the event "three tails show" and D denote the event "a head shows on the first toss" which events are mutually exclusive ?

asked Jun 27, 2014 by sreemathi.v

1 answer

An experiment involves rolling a pair of dice and recording the numbers that come up.Describe the following events : A : The sum is greater than 8,B : 2 occurs on either die,C : The sum is atleast 7 and multiple of 3.Which pairs of these events are mutually exclusive ?

asked Jun 27, 2014 by sreemathi.v

1 answer

$A=\{1,2,3,4,5\},B=\phi,C=\{3,6\},D=\{1,2,3\},E=\{6\},F=\{3,4,5,6\}$.Find $A \cup B,A\cap B,B \cup C,E \cap F,D\cap E,A-C,D-E,E \cap F',F'$

asked Jun 27, 2014 by sreemathi.v

1 answer

A die is rolled.Let E be the event "die shows 4" anf F be the event "die shows even number".Are E and F mutually exclusive?

asked Jun 27, 2014 by sreemathi.v

1 answer

A coin is tossed .If it shows a tail,we draw a ball from a box which contains 2 red and 3 black balls.If it shows head,we throw a die.Find the sample space for this experiment.

asked Jun 27, 2014 by sreemathi.v

1 answer

First n natural numbers:

asked Jun 26, 2014 by meena.p

1 answer

An experiment consists of recording boy-girl composition of families with 2 children (ii) What is the sample space,if we are interested in the number of girls in the family?

asked Jun 26, 2014 by sreemathi.v

1 answer

An experiment consists of recording boy-girl composition of families with 2 children (i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?

asked Jun 26, 2014 by sreemathi.v

1 answer

One die of red colour,one of white colour and one of blue colour are placed in a bag,one die is selected at random and rolled,its colour and the number on its uppermost face is noted.Describe the sample space.

asked Jun 26, 2014 by sreemathi.v

1 answer

The number of terms in the expansion of $(a+b+c)^{10}$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

Find the mean deviation about the mean for data :

asked Jun 26, 2014 by meena.p

1 answer

$49^n+16n-1$ is divisible by

asked Jun 26, 2014 by sreemathi.v

1 answer

If the sum of the coefficients in the expansion of $(x+y)^n$ is $1024$,then the value of the greatest coefficient in the expansion is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the coefficients of $x^2$ and $x^3$ in the expansion of $(3+kx)^9$ are equal then the value of $k$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the expansion of $(x^2+\large\frac{2}{x})^n$ for positive integer n has $13^{th}$ term independent of $x$ then n is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the $r^{th}$ term in the expansion of $(\large\frac{x}{3}-\frac{2}{x^2})^{10}$ contains $x^4$ then $r$ is equal to

asked Jun 26, 2014 by sreemathi.v

1 answer

If the sum of coefficients in the expansion of $(a+b)^n$ is $4096$ then the greatest coefficient in the expansion is

asked Jun 26, 2014 by sreemathi.v

1 answer

Find the mean deviation about the mean for data :

asked Jun 26, 2014 by meena.p

1 answer

Coefficient of $x^6$ in the expansion $(x+\large\frac{1}{x^2})^6$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The least (positive) remainder when $17^{30}$ is divided by $5$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The coefficient of $r^{th}$ and $(r+1)^{th}$ terms in the expansion of $(1+x)^{20}$ are in the ratio 1 : 2 then $r=$

asked Jun 26, 2014 by sreemathi.v

1 answer

The coefficient of $x^{17}$ in the expansion of $(x-1)(x-2)\times (x-3)$.......$(x-18)$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The digit at units place in the number $17^{1995}+11^{1995}-7^{1995}$ is

asked Jun 26, 2014 by sreemathi.v

1 answer