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Questions asked by balaji.thirumalai
Questions
4474
questions
1
answer selected
Two events A and B will be independent, if which of the following is true?
cbse
class12
bookproblem
ch13
sec2
p548
q18
easy
concepts
sec-a
math
asked
Nov 27, 2012
1
answer
Choose the correct answer: The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
cbse
class12
bookproblem
ch13
sec2
p548
q17
sec-a
easy
math
asked
Nov 27, 2012
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English news papers. (b) If she reads Hindi news paper, find the probability that she reads English news paper. (c) If she reads English news paper, find the probability that she reads Hindi news paper.
cbse
class12
bookproblem
ch13
sec2
p548
q16
sec-b
easy
math
asked
Nov 27, 2012
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independant if: E : the card drawn is a spade F : the card drawn is an ace
cbse
class12
bookproblem
ch13
sec2
p547
q15
q15-1
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Probability of solving specific problem independently by A and B are $\large \frac{1}{2} $ and $\large \frac{1}{3} $ respectively. If both try to solve the problem independently, find the probability that $ \text {(i) the problem is solved (ii) exactly one of them solves the problem.} $
cbse
class12
bookproblem
ch13
sec2
p547
q14
easy
sec-a
math
asked
Nov 27, 2012
1
answer
Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that (i) both balls are red. (ii) first ball is black and second is red. (iii) one of them is black and other is red.
cbse
class12
bookproblem
ch13
sec2
p546
q13
sec-a
easy
math
asked
Nov 27, 2012
1
answer
A die is tossed thrice. Find the probability of getting an odd number at least once.
cbse
class12
bookproblem
ch13
sec2
p546
q12
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find (i) P(A and B) (ii) P(A and not B) (iii) P(A or B) (iv) P(neither A nor B)
cbse
class12
bookproblem
ch13
sec2
p546
q11
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Events A and B are such that $P (A) = \frac{1}{2} , P(B) = \frac{7}{12}$ and P(not A or not B) = $ \frac{1}{4} $ . State whether A and B are independent?
cbse
class12
bookproblem
ch13
sec2
p546
q10
sec-a
easy
math
asked
Nov 27, 2012
1
answer
If A and B are two events such that $P (A) = \large \frac{1}{4} , P (B) = \large\frac{1}{2} $ and $P(A \cap B) = \large \frac{1}{8} $ , find $P$ (not A and not B).
cbse
class12
bookproblem
ch13
sec2
p546
q9
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find (i) P(A $\cap$ B) (ii) P(A $\cup$ B) (iii) P ($\large\frac{A}{B}$) (iv) P ($\large\frac{B}{A}$)
cbse
class12
bookproblem
ch13
sec2
p546
q8
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Given that the events A and B are such that $P(A) = \large \frac{1}{2} , P (A \cap B) = \large \frac{3}{5} $ and $P(B) = p$. Find p if they are (i) mutually exclusive (ii) independent.
cbse
class12
bookproblem
ch13
sec2
p546
q7
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Let E and F be events with $P (E) = \frac{3}{5} , P (F)= \frac{3}{10} $ and $P (E \cap F) = \frac{1}{5} $ . Are E and F independent?
cbse
class12
bookproblem
ch13
sec2
q6
p546
sec-a
easy
math
asked
Nov 27, 2012
1
answer
A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event of the number being even, and B be the event of the number being red. Are A and B independent?
cbse
class12
bookproblem
ch13
sec2
q5
p546
sec-a
easy
math
asked
Nov 27, 2012
1
answer
A fair coin and an unbiased die are tossed. Let A be the event - head appears on the coin and B be the event 3 on the die. Check whether A and B are independent events or not.
cbse
class12
bookproblem
ch13
sec2
q4
p546
sec-a
easy
math
asked
Nov 27, 2012
1
answer
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
cbse
class12
bookproblem
ch13
sec2
q3
546
easy
sec-a
math
asked
Nov 27, 2012
1
answer
Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
cbse
class12
bookproblem
ch13
sec2
q2
546
easy
sec-a
math
asked
Nov 27, 2012
1
answer
If $P(A) = \frac{3}{5} $ and $P(B) = \frac{1}{5} $ , find $P (A \cap B) $ if A and B are independent events.
cbse
class12
bookproblem
ch13
sec2
q1
546
easy
sec-a
math
asked
Nov 27, 2012
1
answer
If A and B are events such that P(A|B) = P(B|A), then which of the following is true?
cbse
class12
bookproblem
ch13
sec1
q17
p540
sec-a
easy
concepts
math
asked
Nov 27, 2012
1
answer
If P (A) = \( \frac{1}{2} \) , P (B) = 0, what is P (A|B) ? \[ \begin{array} ((A) 0 \quad & (B) \frac{1}{2} \\ (C) not\: defined \quad & (D) 1 \end{array} \]
cbse
class12
bookproblem
ch13
sec
q16
p539
math
sec-a
asked
Nov 27, 2012
1
answer
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event - the coin shows a tail, given that - at least one die shows a 3.
cbse
class12
bookproblem
ch13
sec1
q15
p349
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Given that the two numbers appearing on throwing two dice are different. Find the probability of the event - the sum of numbers on the dice is 4.
cbse
class12
bookproblem
ch13
sec1
q14
p539
sec-a
easy
math
asked
Nov 27, 2012
1
answer
An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
cbse
class12
bookproblem
ch13
sec1
q13
p539
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl, (ii) at least one is a girl?
cbse
class12
bookproblem
ch13
sec1
q12
p539
sec-a
easy
math
asked
Nov 27, 2012
1
answer
A black and a red dice are rolled. Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
cbse
class12
bookproblem
ch13
sec1
q10
p539
easy
sec-a
q10-2
math
asked
Nov 27, 2012
1
answer
Determine P(E|F) . Mother, father and son line up at random for a family picture E : son on one end, F : father in middle
cbse
class12
bookproblem
ch13
sec1
q9
p539
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Determine P(E|F) . A die is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses
cbse
class12
bookproblem
ch13
sec1
q8
p539
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Determine P(E|F) when Two coins are tossed once, where E : tail appears on one coin, F : one coin shows head
cbse
class12
bookproblem
ch13
sec1
q7
p539
q7-1
sec-a
easy
math
asked
Nov 27, 2012
1
answer
If P(A) =6 / 11 , P(B) = 5 / 11 and P(A ∪ B)= 7 /11 find (i) P(A∩B) (ii) P(A|B) (iii) P(B|A)
bookproblem
class12
cbse
sec1
q5
p539
sec
easy
math
sec-b
asked
Nov 27, 2012
1
answer
Evaluate P(A ∪ B), if 2P(A) = P(B) =5/13 and P(A|B) =2/5
bookproblem
class12
cbse
p539
sec1
q4
sec-a
easy
math
asked
Nov 27, 2012
1
answer
If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find i) P(A ∩ B), (ii) P(A|B) and (iii) P(A ∪ B)
cbse
class12
bookproblem
p539
sec1
q-3
sec-a
easy
math
asked
Nov 27, 2012
1
answer
Compute P(A|B), if P(B) = 0.5 and P (A $\cap$ B) = 0.32
cbse
class12
bookproblem
ch13
sec1
q2
p539
sec-a
math
asked
Nov 27, 2012
1
answer
how do i enter the phi symbol?
asked
Nov 25, 2012
1
answer
A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the time (in minutes) required for each toy on the machines is given below: \[\] \begin{array}{cccc} \textbf{Types} & \textbf{Machine I} & \textbf{Machine II}& \textbf{Machine III}\\ A&12&18&6 \\ B&6&0&9 \end{array} \[\] Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.50 and that on each toy of type B is Rs 5, Formulate the L.P.P and solve to find the maximum profit.
cbse
class12
bookproblem
ch12
misc
q4
p526
sec-c
medium
math
asked
Nov 2, 2012
1
answer
A dietician wishes to mix together two kinds of food X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below: \[\]$\begin{array}{cccc} \textbf{Food} & \textbf{Vitamin A} & \textbf{Vitamin B}& \textbf{Vitamin C}\\ X & 1 & 2 &3 \\ Y & 2 & 2 &1 \end{array}$\[\] One kg of food X costs Rs 16 and one kg of food Y costs Rs 20. Find the least cost of the mixture which will produce the required diet?
cbse
class12
bookproblem
ch12
misc
q3
p526
sec-c
medium
math
asked
Nov 2, 2012
1
answer
Read the details below and Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag? A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional element A, 11.25 units of element B, and 3 units of element C. The minimum requirements of nutrients A, B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?
cbse
class12
bookproblem
ch12
misc
q2
p526
sec-c
medium
math
asked
Nov 2, 2012
1
answer
Refer to Example 9 in book ( page 521 - copied below ). (Diet problem) A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the minimum amount of vitamin A?How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?
cbse
class12
bookproblem
ch12
misc
q1
p525
sec-c
medium
math
asked
Nov 2, 2012
1
answer
Choose the correct answer. The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are:
cbse
class12
additionalproblem
easy
sec-a
math
asked
Nov 2, 2012
1
answer
Choose the correct answer in the distance between the two planes: $2x + 3y + 4z = 4$ and $4x + 6y + 8z = 12$ is
cbse
class12
bookproblem
ch11
misc
p499
q22
sec-b
medium
math
asked
Nov 2, 2012
1
answer
Prove that if a plane has the intercepts a, b, c and is at a distance of p units from the origin, then $$1/a^2 + 1/b^2 + 1/c^2 = 1/p^2$$
cbse
class12
bookproblem
sec-c
difficult
math
asked
Nov 2, 2012
1
answer
Find the vector equation of the line passing through (1, 2, -4) and perpendicular to the two lines $\frac{\large x-8}{\large 3} = \frac{\large y+19}{\large -16} = \frac{\large z-10}{\large 7}$ and $\frac{\large x-15}{\large 3} = \frac{\large y-29}{\large 8} = \frac{\large z-5}{\large -5}$
cbse
class12
bookproblem
ch11
misc
p499
q20
sec-c
medium
math
asked
Nov 2, 2012
1
answer
Find the vector equation of the line passing through $(1, 2, 3)$ and parallel to the planes $\hat{r}. (\hat{i} - \hat{j} + 2\hat{k}) = 5$ and $\hat{r} (3\hat{i} + \hat{j} + \hat{k} ) = 6$
cbse
class12
bookproblem
ch11
misc
p499
q19
sec-c
difficult
math
asked
Nov 2, 2012
1
answer
Find the distance of the point (-1, -5, -10) from the point of intersection of the line $\hat{r} = 2\hat{i} - \hat{j} + 2\hat{k} + \lambda (3\hat{i} + 4\hat{j} + 2\hat{k}) $ and the plane $\hat{r} . (\hat{ i} -\hat{ j} + \hat{k} ) = 5$
cbse
class12
bookproblem
ch11
misc
p499
q18
sec-c
medium
math
asked
Nov 2, 2012
1
answer
If O be the origin and the coordinates of P be $(1, 2, – 3)$, then find the equation of the plane passing through P and perpendicular to OP.
cbse
class12
bookproblem
ch11
misc
p499
q16
sec-b
medium
math
asked
Nov 2, 2012
1
answer
Find the equation of the plane which contains the line of intersection of the planes $\hat{r} . (\hat{i} + 2\hat{j} +3\hat{k}) - 4 = 0$ and $\hat{r} . (2\hat{i} + \hat{j} - \hat{k}) + 5 = 0$ and which is perpendicular to the plane $\hat{r} . (5\hat{i} + 3\hat{j} -6\hat{k}) +8 = 0$
cbse
class12
bookproblem
ch11
misc
p499
q17
sec-b
medium
math
asked
Nov 2, 2012
1
answer
If the points $( 1, 1 , p)$ and $(– 3 , 0, 1)$ be equidistant from the plane $\hat{r} . (3\hat{i} +4\hat{j} -12\hat{k} +13) = 0$ then find the value of $p$.
cbse
class12
bookproblem
ch11
misc
p498
q14
sec-c
difficult
math
asked
Nov 2, 2012
1
answer
Find the equation of the plane passing through the point $( -1, 3, 2)$ and perpendicular to each of the planes $x + 2y + 3z = 5$ and $3x + 3y + z = 0$.
cbse
class12
bookproblem
ch11
misc
p498
q13
sec-c
medium
math
asked
Nov 2, 2012
1
answer
Find the coordinates of the point where the line through $(3, – 4, – 5)$ and $(2, – 3, 1)$ crosses the plane $2x + y + z = 7.$
cbse
class12
bookproblem
ch11
misc
p498
q12
sec-b
medium
math
asked
Nov 2, 2012
1
answer
Find the coordinates of the point where the line through $(5, 1, 6)$ and $(3, 4, 1)$ crosses the YZ-plane.
cbse
class12
bookproblem
ch11
misc
p498
q10
sec-b
medium
math
asked
Nov 2, 2012
1
answer
Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the ZX-plane.
cbse
class12
bookproblem
ch11
misc
p498
q11
sec-b
easy
math
asked
Nov 2, 2012
1
answer
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