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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

If a school is selected at random, find the probability that the school is having

(i) minimum fee

(ii) maximum fee

(iii) fee of atmost Rs 1000

(iv) fee between Rs 1000 and Rs 1500

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

9am - 11am - 175

11am - 1pm - 125

1pm - 3pm - 225

3pm - 5pm - 200

5pm - 7pm - 120

The above table shows the number of people visiting the Good-living pavilion in a trade fair during different time of the day.

Find the probablity that the randomly chosen person visited the pavilion.

1. after 1pm but before 5pm

2. between 9am to 1pm

3. after 5pm

4. between 3pm and 5pm.

Please answer this question urgently. My exam is on 20

^{th}Thursday.Thanks

BOOKS ARE PACKED IN PILES EACH CONTAINING 20 BOOKS. THIRTY FIVE PILES WERE EXAMINED FOR DEFECTIVE BOOKS AND THE RESULTS ARE GIVEN IN THE FOLLOWING TABLE ....NO. OF DEFECTIVE BOOKS ( 0 ) ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) ( ABOVE 6 )

FREQUENCY ( 400 ) ( 180 ) ( 48 ) ( 41 ) ( 18 ) ( 8 ) ( 3 ) ( 2 )

ONE PILE WAS SELECTED AT RANDOM. WHAT IS THE PROBABILITY THAT IT HAS:

no DEFECTIVE BOOKSMORE THAN 0 BUT LESS THAN 4 DEFECTIVE BOOKSMORE THAN 4 DEFECTIVE BOOKS.FREQUENCY IS WRITTEN JUST BELOW NO. OF DEFECTIVE BOOKS IN THE BRACKETS( BOARD QUESTION OF 2015)

The 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

7. The table shows the number of people visited the 'Good - Living Pavilion 'in a trade fair during differen time of day:

Find he probability that randomly chose peson visited the pavilion,

(a) After 1 pm but before 5 pm (c) after 5 pm

(b) between 9 am to 1 pm (d) Between 3 pm and 5 pm.

Prove that the angle subtended by an arc at the centre of dauble of angle subtended by it.

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 tailin tossing a coin 100 times tail appears 56 times. what is the probability of head for the coin?

Scores 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99 No of matches 1 1 8 13 20 22 12 3

What is the probability that the batsman will score (in the next match)

(i) atleast 70 runs (ii) less than 50 runs (iii) 40 to 69 runs (iv) at most 59 runs

please help me n steps

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

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

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?

outcome= 1 2 3 4 5 6

frequency=89 75 78 73 88 97

find the probability of having an outcome:

1. number > 4

2. number< 4

3. number between 1 and 3

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

(i) Three tails :55 (ii) Two tails : 95 (iii) One tail : 120 (iv) No tails : 80

Fin the respective probability of each even and check that the sum of all probabilities is 1.

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 .

In a class of 50 students 70% were passed. What is the probability of a failing child?

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)

Political Party A B C D E F Seats Won 75 55 37 29 10 37 What is the probability that the party selected have

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

head =255

tail = 245

compute the probability of each event ????

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)

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

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?

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.

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

A code is drawn at random to allot an employee. The probability that the code have at least two digit is:

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 tail3 of the 6 vertices of a regular hexagon are chosen at random find the probability that the triangle with three vertices is equilateral.

30 cm diameter, divided into 10 pieces. Another pizza square in shape with side 30 cm divided in to 12

pieces.

Question 20

Anjana bought the slice of round pizza and Sanjana opted for square slice. Who got a better deal? And by

what quantity?

a) Sanjana, approximately 4 cm2

b) Anjana, approximately 4 cm2

c) Sanjana, approximately 5 cm2

d) Anjana, approximately 5 cm2

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.

(a) p (A)

(b) p (B)

(c) p (C)

(d) p (A)+ p (B)+p(C)

(e) p (not c)

(f) p (neither A nor C)

(g) p (bot B and C)

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

type 1 -trekking

Type 2 - trekking and mountain climbing

type 3 -trekking and mountain climbing and rapling

Type 4 - trekking and rapling and rafting

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.

affective books and the results are give in the following table

S THEPROBABLITY(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.

In the survey of 200 men it was found that 65 men take only coffee, 35 take only tea, 25 do not take either and the rest take both coffee and tea, find the probability that a man selected at random

a) TAKES COFFEE

b) takes only tea

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.

7.

The following table shows the daily earnings of 25 shops.

Find the probability that a shop earns :

(i) Rs 100 and above

(ii) At least Rs 60 but less than Rs 80

(iii) Less than Rs 40.

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.

an experiment has 2 outcomes E and F . What is the value of P(E) +P(F)

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

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

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

Weekly wages (in Rs) 325 - 350 350 - 375 375 - 400 400 - 425 425 – 450 No of workers 0 45 75 60 40

Find the probability that a worker selected at random earns: - (i) Rs 400 or more (ii) Rs 375 or more but less than Rs 425 (iii) Upto Rs 400 (iv) at least Rs 375

answers please in steps

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.

is a red or a black ball.

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

a] 4/5

b] 1

c] 0

d] 5/4

1) no tail: 225 times

2) one tail: 180 times

3) two tails: 220 times

two coins are tossed once again . Find the probability of

a) getting at least one tail.

B) getting both heads

c) getting one tail and one head

out of 11 tickets marked with no 1 to 11 three tickets are drawn at random .find probability that numbers are in AP

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

outcome: 1,2,3,4,5,6

Frequency: 35,45,50,38,53,29

Find the probability of getting an odd number.

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?

Probability of an event can be

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

(i)A prime number less than 30?

(ii)A multiple of 5 and 7?

(iii)A multiple of 5 or 7?

in a kitchen, there are 54 utensils consisting of bowl, plates and glasses. the ratio of bowl , plate glasses is 3:2:1. a utensil is picked at random.find the probability that:-

1. it is a plate.

2. it is not a bowl.

;

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

A survey of 250 girls of a school was conducted and it was found that 105 girls likes tea while 145 girls dislike tea . Out of these girls , 1 girl is selected at random . What is the probability that the selected girls

A) likes tea

B) dislikes tea

probability of getting a head is 0.4 and it appeared up for 24 times?

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 ??Outcomes:3 tails 2 tails 1 tail No tailFrequency:31 68 75 26Find the probability of getting:

(a) at least 2 tails.

(b) at most 2 tails.

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 coin is tossed 500 times and head appeared 300 times. find the sum of the probabaility of getting a head a nd the probability of getting a tail .

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?

1)geting a number less than 3

2)geting number more than 4

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 ?

Find the probability of getting:

(a) an even number

(b) an odd number greater than 1. getting 1

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 die was rolled 100 times and number of times 6 comes up was noted .If the experimental probability calculated from this information is 2/5 , then how many times 6 comes up . Justify your answer

a) 0

b) 1

c)2/5

d)5/2

a coin is tossed 1000 times with the following frequencies:

Head:455, Tail: 545

Compute The Probability for each event

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.

1)no head 70

2)one head 85

3)two heads 95

find the probability of the occurrence of each of these events

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.

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

Day No. of T.V sets

Mon 300

Tue 400

Wed 150

Thu 250

Fri 100

Sat 350

Sun 200

If a T.V set is selected at random, find the probability that it is produced.

1. on a day having maximum production

2. on a day having minimum production

3. On saturday

TrialA trial is an action or an experiment which results in one or several outcomes.

For example: if a coin is tossed five times, then each toss of a coin is called a trial.

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" ?