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Syllabus

Prove that a cyclic parallelogram is a rectangle.

Every letter of the English alphabet is coded into numbers like A stands for 1, B for 2 and so on.. Decode the letters used in the phrase RESPECT GIVEN IS RESPECT EARNED. Find the probability of each letter used (only once) to form the phrase from the total sum of all the 27 decoded letters

find the mean of first 10 prime numbers

Distance (in km) 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 No of engineers 5 11 11 9 1 1 2

Find the probability that an engineer selected at random lives at a distance of:-

(i) 10 – 15 km (event E1) (ii) more than 35 km (event E2) (iii) less than 10 km (event E3) (iv) upto 35 km

answers in step please

Two coins are tossed simultaneously . Find the probability of getting

(a) two heads

(b) at least one head

(c) no head

(d) at most one head

Q. Three coins are tossed simultaneously 200 times with the the following frequencies of different outcomes:OutcomeFrequency3 heads 232 heads 721 head 77no head 28How to find probability of getting:1. three heads 2. at least two heads 3. two heads and one tailThe king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting

1. A heart

2. A king

3. A club

4The '10' of hearts

Find the probability of getting either 1 or 3?

9. In a cricket match, a batsman hits a boundary 6 times out of 36 balls he plays. Find the probability that he did not hit a boundary?

If a student is chosen at random find the probability that is a student of either commerce or humanities stream.

1. The weight of 60 persons in a group are given below :

Find the probability that a person selected at random has :

(i) Weight less than 65 Kg

(ii) Weight between 61 and 64 Kg

(iii) Weight equal to or more than 64 Kg

how to write a maths project for icse class ix on planning a delivery route for a postman

(a) $\frac{4}{5}$ (b) 1 (c) 0 (d) $\frac{5}{4}$

in a cricket match a batsman hit a boundary 6 times out of 30 balls she plays. find the probablity that she did not hit boundary?

give me chapter wise weightage of all the chapter in maths of sa2 exam..

a class consist of 50 students out of which 30 are girls . the mean of marks scored by girls in a test is 73 & that of the boys is 71 . find the mean score of whole class .

A piggy bank contains hundred 50 p coins,fifty 1 rupee coins,twenty 2 rupee coins &ten 5 rupee coins.If it is equally likely that one of the coins will fall out when the bank is turned upside down,what is the probability that the coin: 1)will be a 50p coin? 2)will not be a 5 rupee coin? 3)which mathematical concept is used in above problem? 4)what is its value? ( pls .... i need the answer today)

No. of defective bulbs Frequency

0 400

1 180

2 48

3 41

4 18

5 8

6 3

more than 6 2

One cartoon is selected at random. What is the probability that it has:

a)no defective bulbs.

b)defective bulbs from 2 to 6.

c)defectve bulbs less than 4.

The probability of guessing the correct answer to a certain question is X/2 (X by 2). If probabiliy of not guessing the correct answer is 2/3 (2 by 3), then find X.

Please answer the question urgently. My exam is on 20th Thursday.

Thanks

(a) $1-\frac{1}{2\left(\sqrt{3}\right)}$ (b) $1-\frac{\mathrm{\pi}}{3\left(\sqrt{3}\right)}$ (c) $1-\frac{\mathrm{\pi}}{2\sqrt{3}}$ (d) $1-\frac{2\mathrm{\pi}}{3\sqrt{3}}$

Lead spheres of diameter 6 cm each are dropped into a cylinderical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and water level rises up to 40 cm, find the number of lead spheres dropped into water.

What is the probability of getting 53 Sundays in a leap year and in a non leap year?

Could u give me an insight of how the well-shuffled pack 52 cards works?

Q7. Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given ahead table: Sum 2 3 4 5 6 7 8 9 10 11 12 Frequency 14 30 42 55 72 75 70 53 46 28 15 If the dice are thrown once more, What is the probability of getting a sum i) 3? ii) More than 10? iii) Less than or equal to 5? iv) Between 8 and 12?

Two dice is thrown simultaneously . The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is .

(a) 5/36 (b)5/12 (c)11/36 (d) 1/12

three unbiased coins are tossed togethere. What is the probability of getting

1) two heads

2) at least tow heads

3) no head

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:3 heads 232 heads 721 head 77no heads 28find the probability of getting( i) 3 heads(ii) at least 2 heads

(iii) two heads and one tailA bag contains 5 pens and 6 pencils. If a boy selects 2 articles from the bag then what is the probability that the selected articles will be a pen and a pencil

3 of the 6 vertices of a regular hexagon are chosen at random find the probability that the triangle with three vertices is equilateral.

in a deck of cards how many red cards are there, how many black, how many aces, jokers, kings, queens and better tell me everything but fast please

1500 families with 2 children were selected randomly and the following data were recorded:

number of girls in a family: 0 1 2

frequency: 211 814 475

if a family is chosen at random,compute the probability that it has:

1. no girl.

2. 1 girl.

3. 2 girls.

4. at most one girl.

5. more girls than boys.

Teachers and Students are selected at random to make two teams of 20 members each on sports day to participate in the event of ''tug of war''. The numbers of volunteers are as follows:

Teachers= Male 12 and Female 18, Students=male 20 and Female 10.

Find the probablility that the person chosen at random

a. is a male

b. is a female student.

chech whether 7/6 can be an empirical probability or not. give reasons.

Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):

4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00

Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

(i) An even number as the sum.

(ii) The sum as a prime number.

(iii) A total of at least 10.

(iv) A doublet of even number.

Differentiate between exhaustive events and sample space.

How to make a sample space for an experiment.

the probability of any event of an experiment is-

(a) 1

(b) 0

(c) greater than 1

(d) lies between 0 and 1 (both inclusive)

A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 2/5, find the number of red balls in the bag.

17 cards numbered 1,2,3........17 are put in a box and mixed thoroughly. One person draws as ard from the box. Find the probability that a number on the card is (i) odd (ii) a prime

blood group : A B AB O

number of students : 12 9 7 6

if a student is chosen at random ,find the probability that he or she is a universal donar (O blood group)

(m/n)x^2 + n/m = 1 - 2x

A box contains 50 bolts and 150 nuts. On checking the box ,it was found that half of the bolts and half of the nuts are rusted. If one item is chosen at random, find the probability that it is rusted.

A number x is chosen at random from the numbers -3.-2,-1,0,1,2,3. Find The probability that [x]<2

which of the following cannot br empirical probability of an event?

a] 4/5

b] 1

c] 0

d] 5/4

9.5, 10.3, 10.2, 10.1, 10, 10.7, 9.8, 10.4, 9.7, 10.5, 9.7, 9.6

Find the probability that any of these bags chosen at random contains more than 10 kg of cement.

A and B are the only two outcomes of an event.Probability of P(A)=0.72,then what will be the probability P(B) and why?

A die is thrown 100 times.If the probability of getting an even number is 2/5.how many times an odd number is obtained?

A bag contains 12 balls out of which x are white.If one ball is taken out from the bag, find the probability of getting a white ball.If 6 more white balls are added to the bag and the probability now for getting a white ball is double the previous one, find the value of x.

two dice are thrown simuntaneously 500 times . each time the sum of two numbers appearing on them is not written

sum frequency

2 14

3 30

4 42

5 55

6 72

7 75

8 70

9 53

10 46

11 28

12 15

find the PROBABILITY of getting a sum

1)more than 10

2)between 8 and 12

Games cricket football Tennis badminton

No of students 115 35 16 34 A student is chosen a random. Find the probability that he plays neither cricket nor football.

(i)A prime number less than 30?

(ii)A multiple of 5 and 7?

(iii)A multiple of 5 or 7?

Outcomes 2 heads 1 head No head

Frequency 150

210 140

if two coins are tossed again, then find the probability of getting :

a) one head and one tail.

b) two tails.

Q-If the probability of winning a game is 0.4 what is theprobabilityof losing it ?

If x is the mean of n observations x

_{1},x_{2},x_{3}......x_{n}.Then sigma^{n}_{i=1}(x_{1}-x) is ??a bag contains 4 white balls and some blue balls . if the probability of drawing a blue ball is trice that a white ball . find the no. of blue balls in the bag

A RECENT SURVEY FOUND THAT THE AGES OF WORKERS IN FACTORY ARE DISTRJBUTED AS

AGE IN YRS 20-29,30-39.40-49,50-59,60 AND ABOVE

NO.OF WORKERS 38,27,86,46,3

IF A PERSON IS SELECTED AT RANDOM FIND THE PROBABILITY THAT THE PERSON IS

1. 40 YRS OR MORE

2.UNDER 40YRS

3.UNDER 60 BUT NOT OVER 39YRS

A mixed doubles tennis game is to be played between 2 teams(each team consists of 1 male & 1 female).There are 4 married couples.No team is to consist of a husband & a wife.What is the maximum number of games that can be played? : options are :

a 12 , b 21 , c 36, d 42 [IAS 2006]

my approach gives answer as 66 in this way: Let A,B ,C and D are 4 males . A can make team with other 3 females in 3 ways.Similarly B can make team with other 3(except his wife say X) females in 3 ways.Similarly C & D will make 3 teams each , making it a total of 4*3 =12 teams.Now , Question becomes like 12 teams can be arranged in how many ways ?

It is = 12C2 (because 1 GAME needs 2 TEAMS)

=12!/ 2! *10! = 66 GAMES . But, this is not in the options. Plz help me finding out the error I committed and provide me the right solution soon.

five cards--the ten,jack,queen,king and ace of diamonds, are well-shuffled with their face down.One card i picked up with random.1)what is the probablity that the card is the queen? 2)if the queen is drawn and put aside, what is the probablity that the secondncard is up is (a) an ace? (b) a queen ?

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 hurdle????

a coin is tossed 1000 times with the following frequencies:

Head:455, Tail: 545

Compute The Probability for each event

what does the statement inside the bracket following P mean?

eg- P(two heads will come up)

so here does it mean "probability of two heads coming up"?

The percentage of marks obtained by a student in examination are given below:

Examination Subjects

I

II

III

IV

V

% Marks

58%

64%

76%

62%

85%

Find the probability that the student gets –

i) a first class in a subject i.e. at least 60% marks.

ii) A distinction in a subject i.e. at least 75% or above.

iii) Marks between 70% and 80% in a subject.

Plz answer fast i need tmorow is my exam

2.1000 famlies wih 2 childern were slected randomly and and the followiing data were recorded

no . of girls in famlies :0,1,2

no. of famlies :158,419,423 respectively

find the probablity:1.nogirl,

2.1girl

3.2 girl

4.at most one girl

5. at least one girl

6.more girls than boys ----------- ( Explain this in detail)

following deetails show thebirth month of 40 students of class 9:

jan.-3, feb.-4,

march-2,april-2,

may-5,june-2,

july-2,aug.-5,

sep.-3,oct-4,

nov.-4,dec.-4..

find the probability that a student was born in august.

From numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 one number is selected at random. The probability

Q1 = If the price of coal be raised by 20 % then find out by how much a householder reduce his consumption of coal so as not to increase his expentiture ?

Q2 A man lost 12.5 % of his money and after spending 70 % of the remainder, has 210 left. How much did the man initially have ?

Q3 A scored 25 % less thanB. How much percent did B score more than A ?

Q4P spends 75 %f his income. His income is increased by 20 % and he increased his expenditure by 10 % . Findthe % age of increase in his savings

Q5. How many Kg of pure salt be added to 30 Kg of 2 % solution of salt and water to increase it to a 10 % solution ?

Q6.A man sells an article at a profit of 25 %. If he had brought itin 20 % less and sold it for Rs. 10.50 less, he would have gained 30 %. Find the cost price of the article.

Q7. A man derives his income from his investment of RS.4150 at a certain rate of simple interestandRs. 3500 at 1 %higher. His whole income in 4 years is Rs.1211. Find the rate of interest ?

Q8. How much pure alcohal has to be added to 400 ml of a solution containing15 % alcohal to change the concentration of alcohal in the mixture of 32 % ?

A die is thrown 1000 times with frequency of outcome 1,2,3,4,5, and 6 as given below

outcome1 2 3 4 5 6Frequency 179 150 157 149 175 190A die is thrown once again. Find the probability of outcome "greater than 3" ?respected sir/madam

given below is the frequency distribution of wages of 30 workers

wages

110-130

130-150

150-170

170-190

190-210

210-230

230-250

No. Of workers

3

4

5

6

5

4

3

a worker is selected at random. find the probability that his wages are:1. at least Rs.150

2. at most Rs.190

???

pls. answer fast