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Application of Derivatives Application of Derivatives Application of Integrals Application of Integrals Calculus, Abstract Algebra, Linear Algebra, Differential Equations, Numerical Analysis. Continuity and Differentiability Continuity and Differentiability Determinants Determinants Differential Equations Differential Equations Integrals Integrals Inverse Trigonometric Functions Linear Programming Matrices Matrices Probability Relations and Functions Three Dimensional Geometry Unit I: Relations and Functions Unit II: Algebra Unit III: Calculus Unit IV: Vectors and Three-Dimensional Geometry Unit V: Linear Programming Unit VI: Probability Vector Algebra

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CBSE - Class 12 > Mathematics Worksheets

Free CBSE - Class 12 Mathematics worksheets

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1.
If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability $\frac{1}{2}$).
2.
An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: $P(A \text{ fails}) = 0.2$, $P(B \text{ fails alone}) = 0.15$, $P(A \text{ and } B \text{ fail}) = 0.15$. Evaluate the following probabilities (i) $P(A \text{ fails|B has failed})$
3.
An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: $P(A \text{ fails}) = 0.2$, $P(B \text{ fails alone}) = 0.15$, $P(A \text{ and } B \text{ fail}) = 0.15$. Evaluate the following probabilities (ii) $P(A \text{ fails alone})$
4.
Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
5.
If A and B are two events such that $P(A) \neq 0$ and $P(B | A) = 1$, then
1. $A \subset B$ 2. $B \subset A$ 3. $B = \phi$ 4. $A = \phi$
6.
If $P(A|B) > P(A)$, then which of the following is correct :
1. $P(B|A) < P(B)$ 2. $P(A \cap B) < P(A) . P(B)$ 3. $P(B|A) > P(B)$ 4. $P(B|A) = P(B)$
7.
If A and B are any two events such that $P(A) + P(B) – P(A \text{ and } B) = P(A)$, then
1. $P(B|A) = 1$ 2. $P(A|B) = 1$ 3. $P(B|A) = 0$ 4. $P(A|B) = 0$
8.
A couple has two children, (ii) Find the probability that both children are females, if it is known that the elder child is a female.
9.
Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
10.

Suppose we have four boxes A,B,C and D containing coloured marbles as given below: 

One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C?

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Chapters in CBSE - Class 12 Mathematics

Application of Derivatives Worksheet Application of Integrals Worksheet Continuity and Differentiability Worksheet Determinants Worksheet Differential Equations Worksheet Integrals Worksheet Inverse Trigonometric Functions Worksheet Linear Programming Worksheet Matrices Worksheet Probability Worksheet Relations and Functions Worksheet Three Dimensional Geometry Worksheet Vector Algebra Worksheet

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Application of Derivatives Application of Derivatives Application of Integrals Application of Integrals Calculus, Abstract Algebra, Linear Algebra, Differential Equations, Numerical Analysis. Continuity and Differentiability Continuity and Differentiability Determinants Determinants Differential Equations Differential Equations Integrals Integrals Inverse Trigonometric Functions Linear Programming Matrices Matrices Probability Relations and Functions Three Dimensional Geometry Unit I: Relations and Functions Unit II: Algebra Unit III: Calculus Unit IV: Vectors and Three-Dimensional Geometry Unit V: Linear Programming Unit VI: Probability Vector Algebra

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