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11)IfA, B and Care mutually exclusive and exhaustive events and P(A)= P (B)= P(C, find P (A), P (B) and P (C)
Three persons A, Band C are simultaneously shooting a target. Probability ofA hitting the target is that of B is and that ofC is 2/3 Find the probability (i) exactly one of them will hit the target (ii) at least one of them will hit the target. (i) P (eY
9)A candidate is selected for interview for three posts. For the first post there are 3 candidates, for the second there are 4 and for the third there are 2. What are the chances ofhis getting at least one post?
8)Given A, B, Care independent events P (A) =.3, P (B) =.2 and P(C)=4. Find the probability for (a) all occuring (b) none occuring () at least one occuring (d) exactly one occuring
6)Acertain player say X, is known to win with probability 0.3 if the track is fast and 0. 4 if the track is slow. For Monday there is a 0.7 probability ofa fast track and 0.3 probability of a slow track. What is the probability that player X will win on M
5)Two sets of candidates are competing for the position on the board of directors of a company. The probabilities that the first and second sets will win are 0. 6 and 0. 4 respectively. If the first set wins, the probability of introducing a new product i
One bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. One ball is drawn from each bag. Find the probability that both are of same colour.
Maths
Maths
An urn “A' contains 2 white and 4 black balls. Another urn ® contains 5 white and 7 black ball. A ball is transferred from the urn $A) to urn B'. Then a ball is drawn from urn B'. Find the probability, that it will be white.
20% of all students in a university are graduates and 80%are undergraduate..the probability that graduate students is married is 0.50 and the probability that an undergraduate student is married is .10.one student is selected at random what is the probabi
Maths
3)compare the two series for their variability ( using range ) Series A : 5,6,8,19,12,16,19,21,25 Series B: 25,30,30,35,40,45
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Probability
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20)Let U={1,2,3,4,5,6,7,8,9,10}and A={1,3,5,7,9}Find A'
For the sufficient condiions given statements identify the necessary and sufficient t: If you drive over 80 km ner hour. then you will get a fine.
18)write the negation of the following statements s: All students study mathematics at the elementary level
17)write the negation of the following statements r: All birds have wings
16)write the negation of the following statements q: There exists a rational number x such that x2=2
15)write the negation of the following statements i) p: for every real number x,x2>x
14)by giving a counter example ,show that the following statements is false .if n is an odd integer ,then n is prime
13)check whether "or" used in the following compound statement is exclusive or inclusive.write the component statements of the compound statement and use them to check whether the compound statement is true or not .justify your answer t: you are wet when
12)By giving a counter example, show that the following statement is false. Ifn is an odd integer, then n is prime.
11)Given below are two pais of statements .combine these two statements using if and only if (ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisible by3, then the sum of its digits is di
10)Given below are two pairs of statements. Combine these two statements using if and only if ". (i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a Square.
9)For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not. If a and b are integers, then ab is a rational number.
8)For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not. (i) If a triangle ABC is equilateral, then it is isosceles.
Maths
6)write the contrapositive of the following If you are born in India ,then you are a citizen of india
Probability
Probability
Maths
Let A = (1, 2) and B = (3, 4). Find the number of relations from A to B.
In an experiment, a solution of hydrochloric acid is to be kept between 30 and 35° Celsius. What is the range of temperature in degree Fahrenheit if conversion formula is given by C=7 (F-32), where C and F represent temperature in degree Celsius and degre
25)Example 20 A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?
26)One card is drawn from a well shuffled deck of 52 cards. is equally likely, calculate the probability that the card will be a diamond
One card is drawn from a well shuffled deck of 52 cards. is equally likely, calculate the probability that the card will be not an ace
28)One card is drawn from a well shuffled deck of 52 cards. is equally likely, calculate the probability that the card will be
Probability
Probability
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Mathematical reasoning
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Mathematical reasoning
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Mathematical reasoning
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Mathematical reasoning
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1)Check whether the following sentences are statements.give reasons for your answer
Check whether the following sentences are statements.give reasons for your answer Mathematics is fun
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Mathematical reasoning
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Mathematical reasoning
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