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Arts (English Medium) इयत्ता ११ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Without repetition of the numbers, four-digit numbers are formed with the numbers 0, 2, 3, 5. The probability of such a number divisible by 5 is ______.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is ______.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

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A single letter is selected at random from the word ‘PROBABILITY’. The probability that it is a vowel is ______.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is ______.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

The probability that a person visiting a zoo will see the giraffee is 0.72, the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

The probabilities that a typist will make 0, 1, 2, 3, 4, 5 or more mistakes in typing a report are, respectively, 0.12, 0.25, 0.36, 0.14, 0.08, 0.11. 

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most .3. Is it possible that the probability of B getting selected is 0.7?

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

The sum of probabilities of two students getting distinction in their final examinations is 1.2

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is ______.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined
C1
Probability
C2
Written Description
(a) 0.95 (i) An incorrect assignment
(b) 0.02 (ii) No chance of happening
(c) – 0.3 (iii) As much chance of happening as not
(d) 0.5 (iv) Very likely to happen
(e) 0 (v) Very little chance of happening
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that atleast one will be green?

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, the repetition of digits is not allowed?

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Find the derivative of `x^n  + ax^(n-1) + a^2 x^(n-2) + ...+ a^(n -1) x + a^n` for some fixed real number a.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

For some constants a and b, find the derivative of (x – a) (x – b).

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

For some constants a and b, find the derivative of (ax2 + b)2.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

For some constants a and b, find the derivative of `(x - a)/(x - b)`.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of `(x^n - a^n)/(x -a)` for some constant a.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of cos x from first principle.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function.

sin x cos x 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined
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CBSE Arts (English Medium) इयत्ता ११ Question Bank Solutions
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