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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

(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) $1-\frac{2\mathrm{\pi}}{3\sqrt{3}}$

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

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

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

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

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

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)

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.

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

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

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?

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.

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

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.

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.

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?

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.

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.

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.

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

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

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.

Marks:1.00Q3Use the following information to answer the next question.Rohan draws a card from a deck of 52 cards. Each timewhen he draws a card, he notes the result and places the card back in the deck. He does this experiment 100 times. The table given below shows the occurrence of each type of card.

HeartDiamondSpadeClub27

13

34

26

What is the difference between the probabilities of drawing a black card and a red card?

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.

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.

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

what is probablit that a card selected from a pack of 52 cards is-niether a black nor a king.

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

The probabilities of a student getting grade A,B,C AND D are0.2,0.3,0.15,0.35 respectively. then the probability that a student gets at least C grade is

a)0.65 b)0.15 c)0.50 d)0.35

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.

Outcome 3 Head 2 Head 1 Head No Head Frequency 23 72 77 28

Three coins are tossed simultaneously, compute the probability of

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

a] 4/5

b] 1

c] 0

d] 5/4

how is 5 considered as an even 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?

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

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

(i)A prime number less than 30?

(ii)A multiple of 5 and 7?

(iii)A multiple of 5 or 7?

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.

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

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.

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

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"?

Differentiate between exhaustive events and sample space.

How to make a sample space for an experiment.

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 ?

the probability of guessing a correct answer is x/2. if the probability of nat guessing it correct is 2/3, then x is..........

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????

1.WHEN 3 COINS ARE TOSSED ONCE, FIND THE PROBABILITY OF GETTING AT LEAST ONE HEAD.

2. WHEN 3 COINS ARE TOSSED SIMULTANEOUSLY,FIND THE PROBABILITY OF GETTING AT LEAST 2 TAILS.

THANK YOU..

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) A bag contains X white, Y red and Z blue . A ball is drawn at random , then find the probability of drawing a blue ball ?From numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 one number is selected at random. The probability

A company selected 2300 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a home.The information gathered is listed in the table.

If a family is chosen at random,find the probability that the family is,(a)earning rs 7000-13000 per month and owning exactly 1 vehicle,(b)earning not more than one vehicles,(c)earning more than rs 13000 and owning 2 or more than 2 vehicles,(d)owning no vehicle

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" ?solve it quickly.....