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Application of Derivatives Application of Derivatives Application of Integrals Application of Integrals 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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Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

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.
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.
9.

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?

10.
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
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Chapters in CBSE - Class 12 Mathematics

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

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Application of Derivatives Application of Derivatives Application of Integrals Application of Integrals 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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