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CBSE - Class 12 > Mathematics > Probability Worksheets

Free CBSE - Class 12 Mathematics - Probability worksheets

Sample Worksheets

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1.
$A$ and $B$ are two events such that $P(A) \neq 0$. Find $P(B|A)$, if (i) $A$ is a subset of $B$
2.
$A$ and $B$ are two events such that $P(A) \neq 0$. Find $P(B|A)$, if (ii) $A \cap B = \phi$
3.
A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male.
4.
Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?
5.
If a leap year is selected at random, what is the chance that it will contain 53 tuesdays?
6.
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?
7.
A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?
8.
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.
9.
Probability that A speaks truth is $\frac{4}{5}$. A coin is tossed. A reports that a head appears. The probability that actually there was head is
1. $\frac{4}{5}$ 2. $\frac{1}{2}$ 3. $\frac{1}{5}$ 4. $\frac{2}{5}$
10.
If A and B are two events such that $A \subset B$ and $P(B) \neq 0$, then which of the following is correct?
1. $P(A | B) = \frac{P(B)}{P(A)}$ 2. $P(A|B) < P(A)$ 3. $P(A|B) \ge P(A)$ 4. None of these
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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 Relations and Functions Worksheet Three Dimensional Geometry Worksheet Vector Algebra Worksheet

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Top Concept Videos in Mathematics Probability

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The Probability Patterns of Random Experiments

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