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Recent questions and answers in Probability
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Probability
The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q16
p41
math
answered
Feb 26
by
Sumitchn007
1
answer
In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.
cbse
class12
bookproblem
ch13
misc
p583
q11
sec-b
easy
math
answered
Jan 28
by
sristijain30
2
answers
A letter is known to have come either from TATA NAGAR or from CALCUTTA.On the envelope,just two consecutive letter TA are visible.What is the probability that the letter came from TATA NAGAR.
cbse
class12
ch13
q44
p277
exemplar
math
sec-b
answered
Jul 30, 2017
by
Prathapchaithanya99
2
answers
Suppose a girl throws a die. If she throws a 5 or 6, she tosses a coin 3 times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with a die?
cbse
class12
maths
ch13
sec-e
answered
Dec 27, 2016
by
priyanka.c
1
answer
A die is thrown 10 times. If getting a prime number is considered a success, find the probability of getting not more than 8 successes.
cbse
class12
maths
ch13
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If the letters of the word 'ASSASSINATION' are arranged at random in a row, find the probability that
(a) four S's come consecutively in the word
(b) All A's not coming together
(c) two I's and two N's come together.
cbse
class12
maths
ch13
sec-e
answered
Dec 19, 2016
by
priyanka.c
1
answer
From a group of 7 men and 4 ladies, a committee o 6 persons is formed. What is the probability that the committee will consist exactly of 2 ladies ?
cbse
class12
maths
ch13
sec-c
answered
Dec 10, 2016
by
priyanka.c
1
answer
In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.
cbse
class12
maths
ch13
sec-e
answered
Dec 8, 2016
by
priyanka.c
1
answer
A coin is tossed 6 times. What Is the probability that tail appears an odd no of times ?
cbse
class12
maths
sec-b
ch13
answered
Nov 30, 2016
by
priyanka.c
1
answer
Event A and B are such that $P(A) = \frac{1}{2}, P(B) = \frac{7}{12} $, P (not A or not B) =$ \frac{1}{4}$. State whether A and B are independent.
cbse
class12
maths
sec-e
ch13
answered
Nov 23, 2016
by
priyanka.c
1
answer
Two eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.
cbse
class12
maths
sec-e
ch13
answered
Nov 19, 2016
by
priyanka.c
1
answer
Two cards are drawn without replacement from a well shuffled pack of 52 cards. Find the probability that one is spade and other is a queen of red colour.
cbse
class12
maths
sec-e
ch13
answered
Nov 18, 2016
by
priyanka.c
1
answer
A die which is marked with 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event 'number is even' and B be the event 'number is red' and Are A and B independent?
cbse
class12
maths
ch13
sec-b
boardexam
2017
answered
Nov 17, 2016
by
priyanka.c
1
answer
Six dice are thrown 729 times. How many times do you expect atleast three dice to show 5 or 6.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q49
p43
math
answered
Mar 23, 2016
by
vijayalakshmi.r
1
answer
Obtain the probability distribution of number of sixes in two tosses of a dice. Also find mean/ variance.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q29
p42
math
answered
Aug 8, 2015
by
csyogendra21
1
answer
State Biot Savart law. Use it to obtain the intensity of magnetic field at a point due to a long straight current carrying wire.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Feb 10, 2015
by
meena.p
0
answers
Draw the logic circuit of a $NAND$ gate and wite its truth table.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 28, 2015
by
meena.p
0
answers
Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?
cl593
cbse
class12
bookproblem
ch13
sec5
p577
q4
sec-b
easy
math
answered
Mar 20, 2014
by
balaji.thirumalai
1
answer
What is the difference between Bayes theorem and Total Probability theorem?
cbse
class12
math
ch13
probability
answered
Feb 12, 2014
by
rvidyagovindarajan_1
1
answer
A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that the bag has 3 white balls.
cbse
class12
ch13
additionalproblem
sec-c
difficult
math
jeemain
probability
answered
Jan 31, 2014
by
rvidyagovindarajan_1
1
answer
Suppose you roll 5 dice and sum up the highest 3 numbers. What is the probability that the sum is 18?
cbse
class12
ch13
additionalproblem
sec-b
difficult
math
jeemain
probability
answered
Jan 30, 2014
by
balaji
1
answer
Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
cbse
class12
bookproblem
ch13
misc
p582
q3
sec-b
medium
math
answered
Jan 30, 2014
by
balaji
1
answer
A die is thrown120 times and getting 1 or 5 is considered success. Find the mean,varianceof numberofsuccesses.
answered
Jan 16, 2014
by
rvidyagovindarajan_1
1
answer
A man fires 4 bullets on a thief.The probability that the thief will be killed by one bullet is 0.6. Findtheprobabilitythatthethiefisstillalive.
asked
Jan 15, 2014
by
ruku1723_1
0
answers
If A and B are any two events such that \(P(A) + P(B) - P(A \text{and} B) = P(A)\), then choose the correct answer:
cbse
class12
bookproblem
ch13
misc
p584
q19
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
If P(A|B) > P(A), then which of the following is correct ?
cbse
class12
bookproblem
ch13
misc
p584
q18
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
If A and B are two events such that P(A) $\neq$ 0 and P(B | A) = 1 . Then choose the correct answer.
cbse
class12
bookproblem
ch13
misc
p584
q17
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
cbse
class12
bookproblem
ch13
misc
p584
q16
sec-b
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: $ \text {P(A fails) = 0.2 P(B fails alone) = 0.15 P(A and B fail) = 0.15}$. Evaluate the following probabilities \[ \text {(i) P(A fails | B has failed) (ii) P(A fails alone)} \]
cbse
class12
bookproblem
ch13
misc
p584
q15
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability \(\frac{1}{2}\)).
cbse
class12
bookproblem
ch13
misc
p584
q14
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
cbse
class12
bookproblem
ch13
misc
p584
q13
sec-c
medium
modelpaper
2012
q26
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
Suppose we have four boxes A,B,C and D containing coloured marbles as given in the box below. One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C? \[\]$\begin{matrix} \text{Box} & &\text{Marble Colour} & \\ &\text{Red} &\text{White} & \text{Black}\\ A & 1 & 6 & 3\\ B & 6 & 2 &2 \\ C & 8 & 1 & 1\\ D & 0 & 6 & 4 \end{matrix}$
cbse
class12
bookproblem
ch13
misc
p583
q12
sec-b
difficult
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?
cbse
class12
bookproblem
ch13
misc
p583
q10
easy
sec-b
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be at least 4 successes.
cbse
class12
bookproblem
ch13
misc
p583
q9
easy
sec-b
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
If a leap year is selected at random, what is the chance that it will contain 53 tuesdays?
cbse
class12
bookproblem
ch13
misc
p583
q8
sec-a
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6 . What is the probability that he will knock down fewer than 2 hurdles?
cbse
class12
bookproblem
ch13
misc
p583
q6
sec-b
easy
modelpaper
2012
q21
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
An urn contains 25 balls of which 10 balls bear a mark 'X' and the remaining 15 bear a mark 'Y'. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability for the following: (i) all will bear 'X' mark. (ii) not more than 2 will bear 'Y' mark. (iii) at least one ball will bear 'Y' mark. (iv) the number of balls with 'X' mark and 'Y' mark will be equal.
cbse
class12
bookproblem
ch13
misc
p583
q5
medium
sec-c
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?
cbse
class12
bookproblem
ch13
misc
p582
q4
sec-b
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
cbse
class12
bookproblem
ch13
misc
p582
q3
sec-b
medium
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male. (ii) Find the probability that both children are females, if it is known that the elder child is a female.
cbse
class12
bookproblem
ch13
misc
p582
q2
sec-b
easy
math
answered
Jun 22, 2013
by
balaji.thirumalai
1
answer
The probability that a student is not a swimmer is 1 / 5. Then the probability that out of five students, four are swimmers is?
cbse
class12
bookproblem
ch13
sec5
p578
q15
sec-b
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
In a box containing 100 bulbs, 10 are defective. What is the probability that out of a sample of 5 bulbs, none is defective?
cbse
class12
bookproblem
ch13
sec5
p578
q14
sec-b
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?
cbse
class12
bookproblem
ch13
sec5
p578
q13
sec-b
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
Find the probability of throwing at most 2 sixes in 6 throws of a single die.
cbse
class12
bookproblem
ch13
sec5
p578
q12
sec-b
medium
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
Find the probability of getting 5 exactly twice in 7 throws of a die.
cbse
class12
bookproblem
ch13
sec5
p578
q11
sec-a
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is \( \frac{1}{100}\). What is the probability that he will win a prize (a) at least once (b) exactly once (c) at least twice?
cbse
class12
bookproblem
ch13
sec5
p577
q10
sec-b
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
On a multiple choice examination with three possible answers for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing ?
cbse
class12
bookproblem
ch13
sec5
p577
q9
sec-b
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?
class12
cbse
ch13
sec5
medium
additionalproblem
sec-a
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
Suppose X has a binomial distribution \(B\: ( 6, \frac{1}{2})\) . Show that X = 3 is the most likely outcome. Hint : P(X = 3) is the maximum among all \(P(x_i),\: x_i = 0,1,2,3,4,5,6\)
cbse
class12
bookproblem
ch13
sec5
p577
q8
sec-b
medium
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?
cbse
class12
bookproblem
ch13
sec5
p577
q6
sec-a
easy
math
answered
Jun 21, 2013
by
balaji.thirumalai
1
answer
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