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CBSE - Class 12 > Mathematics > Probability Worksheets

Free CBSE - Class 12 Mathematics - Probability 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.

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?

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

Free Probability Worksheets

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Top Concept Videos in Mathematics Probability

The Probability Patterns of Random Experiments video thumbnail

The Probability Patterns of Random Experiments

CBSE - Class 12>Mathematics>Probability

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