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Syllabus

a letter is known to have come from either TATA NAGAR or CALCUTTA on the envelope just two consecutive letters TA are visible, what is the probability that the letter has come from 1. CALCUTTA 2. TATA NAGAR........

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.

^{6}C2 how will we solve thisbag 1 contains 3 red and 4 black balls and bag 2 contains 4 red and 5 black balls. two balls are transferred at random from bag 1 to bag 2 and then a ball is drawn from bag 2. the ball so drawn is found to be red in colour. find the probability that the transferred balls were both black.

If A and B are two independent events such that P(not A intersection B) = 2/15 and P(A intersection not B) =1/6, then find P(B)

what is meant by unbiased die and biased die ?

is psa exam going to hv ne effect on 12 board exam??? will it effect jee in any way......experts plz do give me some useful answers on these issues....

The probability that a student entering a university will graduate is 0.4. Find out the probability that out of 3 students of the university:

1. non will graduate

2. only one will graduate

3. All will graduate

How many times must a man toss a fair coin so that the probability of having at least one head is more than 80%?

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denotes the larger of the two numbers obtained. Find E(X).

In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices and only one correct option. The probability that he guess is 1

A can hit a target 4 times in 5 shots b 3 times in 4 shots and c 2 times in 3 shots. they fire a volley. what is the probability that 2 shots at least hit (4 marks)

A man is known to speak truth 3 out of 4 times.He throws a die & reports that it is a six.Find the probability that it is actually a six.

A man takes a step forward with probability of 0.4 and backwards with probability of 0.6.Find probability that at the end of eleven steps, he is just one step away from the starting point..

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.

pls xplain the steps

A & B take turns in throwing two dice.The first to throw a sum 1o,being awarded.Show that if A has the first throw, their chances of winning is at the ratio of 12:11.

A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.?

pls xplain me the solution

A letter is known to have come either from LONDON or CLIFTON . On the envelope just two consecutive letters ON are visible . What is the probability that the letter has come from

(1) LONDON

(2) CLIFTON

twelve balls are distributed among three boxes ,find the probability that the first box will contain 3 balls .... and also explain how we solve these type of prblms ....and sum stategy to make strong probability

2 integers are selected at random from 1 to 11 . if the sum is even .find the probability that both numbers are odd

A bag contains 4 balls.Two balls are drawn at random, and are found to be white. What is the probability that all balls are white ?

A and B throw a dice alternatively till one of them gets a ‘6’and wins the game. Find their respective probabilities of winning,if A starts first??

ins)= P(S)+ P(FFS)+ P(FFFFS)=given belowP(A wand so on.

step 2 =1/6/1-25/36 = 6/11 please tell me fast.how step 2 came

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of the number of successes and hence find its mean

4 studentsis selected at random from a group consisting of8 boysand4 girls. Given that there isat least one girlin the committee. Calculate the probability that there are exactly 2 girls in the committee.?three groups of children contain 3 girls and 1 boy : 2 girls and 4 boys :and 1 girls and 3 boys respectively. one children is selected at random from each group. find the chance that the three selected comprise 1 girl and 2 boys.

A biased die is twice as likely to show an even number as an odd number. The die is rolled three times. If occurrence of an even number is considered a success, then write the probability ditribution of number of successes. Also find the mean number of success.

An urn contains 10 white and 3 black balls. another urn contains 3 white and 5 black balls. Two are drawn from the first urn and put into the second urn and then a ball is drawn from the latter. Find the probability that it is a white ball.

Consider an experiment of tossing a coin.If the coin shows heads,toss it again but if it shows tails,then throw a die.Find the conditional probability of event that 'the die shows a number greater than 4' given that 'there is atleast one tail'.

Q.1 A speaks truth in 60% of the case and B in 90% of the cases. In what percentage of case are they likely to contradict each other in stating the same fact?

Q.2 A problem in mathematics is given to three studenys (A, B, C)whose chances of solving it are 1/3, 1/5 and 1/6 respectively. Find the probability that(i) one of them is able to solve the problem correctly. (ii) any two out of A, B, C will solve the problem?

The content of Urn I, II, III are as follows :

Urn I : 1 white, 2 black and 3 red balls

Urn II : 2 white, 1 black and 1 red balls

Urn II : 4 white, 5 black and 3 red balls

one urn is choosen and two balls are drawn. They happen to be white and red. What is the probability that they come from urn III ?

A and B throw a die alternatively till one of them gets a '6' and wins the game. find their respective probablilites of winning, if A syarts first.

Two bags A and B contain 4 white balls and 3 black balls ,and 2 white balls and 2 black balls respectively .From bag A two balls are transferred to bag B.find the probability of drawing

1.2 white ball from bag B

2. 2 black balls from bag B

3.1 white ball and 1 black ball from bag B

A man takes astep forward with probability 0.4 and backward with probability 0.6 find the the probability that at the end of eleven steps he is one step away from the starting point

find the probability distribution of the number of doublets in 4 throws of a pair of dice.

The PROBABILITY of a shooter hitting a target is 3/4. How many minimum no. of times must he/she fire so that the probability of hitting the target atleast once is more than 0.99?????

a lady gives a dinner party to six guests. the number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is ?

Three numbers are chosen at random without replacement from {1 , 2, 3,...8} .The propability that thier minimum is 3 , given that their maximum is 6. is ..ans. is 1/5.

plzz explain..

Assume that the chances of the patient having a heart attack are 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?

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.

A random variable X has the following probability distribution.

X

0

1

2

3

4

5

6

7

P (X)

0

k2

k2

k3

kk^{2}2

k^{2}7

k^{2}+kDetermine

(i)k(ii)P (X < 3)(iii)P (X > 6)(iv)P (0 < X < 3)Three balls are drawn one by one without replacement from a bag containing 5 white and 4 green balls. FInd the probability distribution of no. of green balls drawn?