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Recent questions tagged ch13
Questions
Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.
cbse
class12
bookproblem
ch13
sec3
p556
q9
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?
cbse
class12
bookproblem
ch13
sec3
p556
q8
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver? (Note, in 2014, this was modified to ask for the probability that he is a car driver also).
cbse
class12
bookproblem
ch13
sec3
p556
q7
sec-b
easy
math
modelpaper-2014
q26-a
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?
cbse
class12
bookproblem
ch13
sec3
p556
q5
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let $ \frac{3}{4} $ be the probability that he knows the answer and $\frac{1}{4} $ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability $ \frac{1}{4} $ . What is the probability that the student knows the answer given that he answered it correctly?
cbse
class12
bookproblem
ch13
sec3
p556
q4
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier?
cbse
class12
bookproblem
ch13
sec3
p556
q3
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
cbse
class12
bookproblem
ch13
sec3
p556
q2
sec-b
medium
modelpaper
2012
q23
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?
cbse
class12
bookproblem
ch13
sec3
p555
q1
medium
sec-b
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
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
by
balaji.thirumalai
1
answer
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