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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

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

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

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

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

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)

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 tailIf 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

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

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.

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?

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?

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

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 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)

Differentiate between exhaustive events and sample space.

How to make a sample space for an experiment.

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

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?

Probability of an event can be

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

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?

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.

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.

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.

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

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)

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.

1)no head 70

2)one head 85

3)two heads 95

find the probability of the occurrence of each of these events

(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.

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

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.

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.

(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)

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

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?

(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.

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

a] 4/5

b] 1

c] 0

d] 5/4

a dice ws rle 50 times chance of obtainng a multiple of 3

no of dice 1 2 3 4 5 6

no of times 3 2 67 8 24

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

(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

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

(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 ?

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

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 pair of fair, standard dice are rolled. What is the probability the sum of the dice is 5?

2 ) can the experimental probability of an event be greater than 1? If not why?

3 ) can the experimental probability of an event be zero? If not why?

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????

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

a coin is tossed 1000 times with the following frequencies:

Head:455, Tail: 545

Compute The Probability for each event

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 .

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.

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

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.

one card is drawn at random from a well shuffled deck of 52 cards. find the probability for getting a face card.

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

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

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" ?ask all the students in your class to write a 3 digit number. Choose any student at random and find the probability of he or she's number to be divisible by 3`