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Syllabus

Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that

(a) you both enter the same sections?

(b) you both enter the different sections?

in survey of 60 people , it was found that 25 people read newspaper H , 26 read newpaper T , 26 read newspaper I , 9 read both H and I , 11 read both H and T , 8 read T and I , 3 read all these newspaper find

plz replz as soon as possible , plz plz

^{infinit}soliving of this question ʃ(x+sinx)/1+cosx dx

- A bag has 12 items of which 4 are defective. From this 2 items are drawn at random. Find the probability of getting i) no item defective ii) one item defective

iii) both items defectivesix dice are thrown 729 times. how many times do you expect atleast 3 dice to show a five or a six?

In a single throw of three dice determine the probability of getting

(a) a total of 5

(b) a total of atmost 5

(c) a total of atleast 5

URGENT.

in a survey of 25 students it was found that 15 had taken mathematics,12 had taken physics and 11 had taken chemistry,5 had taken mathsematics and chemistry,9had taken mathematics and physics,4 had taken physics and chemistry and 3 had taken all three subjects.find the number of students who had taken-

A committee of two persons is selected from 2 men and 2 women.What is the probabality that the committee will have 1) at least one man 2)at most one man

What is the difference betwnn these 2 and also i need solotion for both

Two students Anil and Ashima appeared for examination. The probability that Anil will pass is 0.05 and that Ashima will pass is 0.10 .The probability that both will pass the exam is 0.02 .Find the probability that :

a) both anil and ashima will pass

b) atleast one of them will not pass the exam

c) only one tf them will qualify the exam

Let S be the focus of the parabola y2 = 8x and let PQ be the common chord of the circle

8. Write the following Hindu - Arabic numerals:

(i) IVCDXLIV (ii) VICKXLIX (iii) IXCCCXCI (iv) LXXIX

A bag contains 6 red, 5 blue balls, another bag contains 5 red and 8 blue balls. Two balls are drawn from th first bag and without noticing its colour is put in the second bag. A ball is then drawn from the second bag. Find the probability that the ball drawn is blue in colour.

if a variable X takes values 0,1,2,.....n with frequencies nC0 , nC1,nC2 ,........., nCn then write variance X

A,B and C are three mutually exclusive and exhaustive events associative with a random experiment. Find P(A),

If P(B) = 3/2 P(A) and 2P(C) =P(B)

Find the value of n if (i)2nC3 : nC3 = 12 : 1 (ii) 2nC3 : nC3 = 11:1

Find the probability that when a hand of 7 cards is drawn from a well shuffled deck of 52 cards, it contains (i) All king, (ii) 3 kings (iii) at least 3 kings.

Four married couples have gathered in a room. Two persons are selected at random form amongst them. Find the probability that the selected persons are:

a) a husband and his wife

b) a gentleman and a lady but not a couple

PLEASE HELP.

In a certain lottery 10,000 tickets are sold and 10 equal prizes are awarded. What is the probability of not getting a prize if you buy

1)one ticket

2)10 tickets?

(1) all of them show the same face.

(2) all shows distinct faces.

(3) two of them show the same face.

In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that

(i) The student opted for NCC or NSS.

(ii) The student has opted neither NCC nor NSS.

(iii) The student has opted NSS but not NCC.

A has 3 shares in a lottery in which there are 3 prizs and 8 blanks. B has 2 shares in a lottery in which the are 4 prizes and 6 blanks. compar their chances of success.

Two balls are drawn at random from 1 bag containing 2 white , 3 red , 5 green and 4 black balls one by one without replacement. Find the probability that both balls are different.

Two cards are drawn from a pack of 52 cards. Find the probability that these two cards are of different groups?

Two unbiased dice are thrown. Find the probability that neither a

Three coins are tossed once. Find the probability of getting

(i) 3 heads (ii) 2 heads (iii) at least 2 heads

(iv) at most 2 heads (v) no head (vi) 3 tails

(vii) exactly two tails (viii) no tail (ix) at most two tails.

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel (ii) an consonant

(a)P and Q have same number of elements.

(b)The number of elements in P is more than the number of elements in Q.

(c)The number of elements in P is just one more than the number of elements in Q.

(d)Q is a subset of P.

(e)P union Q contains exactly r elements(1<=r<=n).

A committee of two persons is selected from two men and two women. What is the probability that the committee will have will have (i) no man (ii) one man (iii) two men ??

experts please do help !!

In a hand at whist, what is the chance that the four kings are held by a specific player?

Please Explain.

(30) The probability that a leap year selected at random will contain either 53 sundays or 53 mondays is ....... .

$\left(a\right)\frac{1}{7}\left(b\right)\frac{2}{7}\left(c\right)\frac{3}{7}\left(d\right)\frac{4}{7}$

what is the no. of ways of choosing 4 cards from a pack of 52 playing cards ?IN HOW MANY OF THESE

1.four cards of same suit

2.cards of the same colour

3. are face cards

An integer is chosen at random ranging from 1 to 50.Find the probability that it is a multiple of 2 or 3 or 5 or 6

in n sided regular hexagon find the probability that the two diagonals chosen at random will intersect inside the polygon.?

A and B throw a pair of dice . If A throws 9 , find B's chance of throwing a higher number.

Write the following set in set builder form.

{1, 2, 3, 6, 9, 18}

Q.10. If A and B are two events associated with a random experiment such that P(A) = 0.8, P(B) = 0.5, $P\left(\frac{B}{A}\right)$ = 0.4, find $P\left(A\cap B\right)$.

A box contains 10 bulbs , of which just three are defective . if 5 bulbs are drawn at random,find the probabiltiy that sample of 5 contains

(1) exactly one defective bulbs

(2) exactly two defective bulbs

(3) no defective bulbs

Plz reply fast; evaluate P(AUB) if; 2P(A)=P(B)=5/13 AND P(A/B)=2/5

Q. Prove that for two independent events A and B, $P\left(A\cap B\right)=P\left(A\right)\times P\left(B\right)$

Out of 8 points ina plane , 5 are collinear. Find the probability that 3 points selected at random will form a triangle.

On her vacations veena visits four cities( A,B,C and D) in a random order.what is the probability that she visits

i)A before B ii) A before B and B before C iii)A first and B last iv)A either first or second v)A just before B.

A student appears for test I, II III. The student is successful if he passes either in test I and II or test I and III. The probabilities of the student passing in tests I, II, III are p, q, q/2 respectively. If the probability that the student is successful is 1/2, then find the relation between p and q.

## A box contains six red balls and four green balls. four balls are selected at random from the box. what is the probability that two of selected balls will be red and two will be green

P,Q,R shot to hit a target. If P hits it 3 times in 4 trials, Q hits it 2 times in 3 trials and R hits it 4 times in 5 trials, what is the probability that the target is hit by at least two persons?

Find the probability that in a random arrangement of the letters of the word 'SOCIAL' vowels come together.

Any Formula To Find Sample Space?

A person writes 4 letters and addresses 4 envelopes. If the letters are placed at random in the envelopes, then the probability that all the letters are not placed in the right envelopes is

Q1- In a dice game, a player pays a stake of Re1 for each throw of a die. Shereceives Rs 5 if the die shows a 3, Rs 2 if the die shows a 1 or 6, and nothingotherwise. What is the players expected profit per throw over a long series ofthrows?

The probability that a person will get an electric contract is 2/5 and the probability that he will not get plumbing contract is 4/7.If the probability of getting atleast one contract is 2/3. What is the probability that he will get both?

plz answer!

please give information about playing cards in maths in probability

a student takes his examination in 4 subjects-A,B,C,D.To qualify he must pass in A and at least 2 other subjects. His chances of Passing in A,B,C,D are 4/5, 3/4, 5/6, 2/3 respectively. Find the chances of his qualifying.

A car is parked by a driver amongst 25 cars in a row, not at either end. When he returns he finds that 10 places are empty. The probability that both the neighbouring places of drivers car are vacant, is???Pls explain how???_{i}denotes no. of balls in i th box find the probability that B_{1}< B_{3}< B_{5}< B_{7}& B_{2}> B_{4}> B_{6}> B_{8 }.2 cards are drawn at random from a pack of 52 cards. find the probability that the cards are either both red or both aces.

A. 1/(n+1)

B. 2/2

^{2}C.2/n(n+1)

D.1/n(n+1)

Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

Two cards are drawn from a well shuffled pack of 52 cards without

when to use combination and permutation in probability please explain

The probabilities of a husband and his wife surviving for 20 more years are 0.8 and 0.9 respectively. Find the probability that after 20 years:a. both of them are alive b. at least one of them is alive.