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Syllabus

Prove that a cyclic parallelogram is a rectangle.

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 .

find the mean of first 10 prime numbers

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

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

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

Find the probability of getting:

(a) an even number

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

(i) Less than 10 kg of flour

(ii) Exactly 10 kg of flour

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?

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.

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

Differentiate between exhaustive events and sample space.

How to make a sample space for an experiment.

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..

type 1 -trekking

Type 2 - trekking and mountain climbing

type 3 -trekking and mountain climbing and rapling

Type 4 - trekking and rapling and rafting

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 .

9. From a pack of cards, a card is drawn at random. Find the probability of getting a red card.

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)

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

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) 2 (B) 4 (C) 6 (D) 5

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

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

13. A word and number arrangement machine when given an input line of words and numbers , rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.

Input : 40 made butter 23 37 cookies salt 52 86 92 fell now 19

Step I: butter 19 40 made 23 37 cookies salt extra 52 86 92 fell now

Sutter II : cookies 23 butter 19 40 made 37 salt extra 52 86 92 fell now

Step III : extra 37 cookies 23 butter salt 19 40 made salt 52 86 92 now

step IV : fell 40 extra 37 cookies 23 butter 19 made salt 52 86 92 now

Step V : made 52 fell 40 extra 37 cookies 23 butter 19 salt 86 92 now

Step VI : now 86 made 52 fell 40 extra 37 cookies 23 butter 19 salt 92

Slep VII : salt 92 now 86 made 52 fell 40 extra 37 cookies 23 butter 19

Step VII is the last step o the arrangement.

As per the rules followed in the steps, find out the appropriate steps for the given input and answer the question follows.

Input : 32 proud girl beautiful 49 58 97 rich family 61 72 17 nice life

What is the position of 'nice' from the left end in the step?

A Fifth

B. Tenth

C. Seventh

D. Eighth

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

In an essay competition, the odds in favour of competitors P, Q, R and S are 1:2, 1:3, 1:4 and 1:5 respectively. Find the probability that one of them wins the competition.

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.

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.

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.

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

CAN 4/5 EMPIRICAL PROBABILITY OF AN EVENT? JUSTIFY

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.

(a) Probability of an event always lies between 0.05 and 1.

(b) P(E)= Total number of trials / Number of trials in which E has happened

(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.

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.

In a cricket match , a batsman hits a boundary 8 times out of the ball he plays . FInd the balls played if the probability of not hitting a boundary is 80%

2/13 1/26 3/13 1/13

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.

On a particular day, 16% of the students were absent in a class. If 42 students were present on that day, find the total strength of the class.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

(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 fair coin is tossed 100 times and the head occurs 58 times and tail 42 times.what is the experimental probability of getting a head?

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

a] 4/5

b] 1

c] 0

d] 5/4

Probability of an event can be

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

A 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

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?

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

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.

(i)A prime number less than 30?

(ii)A multiple of 5 and 7?

(iii)A multiple of 5 or 7?

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

what is d need of maths in our life

A coin is tossed 500 times with the following observation:

Head : 245 times , Tail : 255 times

The coin is tossed again.find the probability of getting a head

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 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 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?

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.

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????

head =255

tail = 245

compute the probability of each event ????

1)geting a number less than 3

2)geting number more than 4

a coin is tossed 1000 times with the following frequencies:

Head:455, Tail: 545

Compute The Probability for each event

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

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.

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" ?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.

recorded as in data below:

no. of plant survived less than 25 26-50 51-60 61-70 more than 70

no. of school 15 20 30 30 5

When a school is selected of random for inspection what is the probability of (i) more than 25 plants survived in school?

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

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

Find the probability that a selected person is a woman. Plz answer